1481760000 has 720 divisors, whose sum is σ = 6385456000. Its totient is φ = 338688000.

The previous prime is 1481759987. The next prime is 1481760013. The reversal of 1481760000 is 671841.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1481760000 is a `hidden beast` number, since 1 + 48 + 17 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1481759987) and next prime (1481760013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1481760000² = 4391225395200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211679997 + ... + 211680003.

Almost surely, 2^1481760000 is an apocalyptic number.

1481760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192728000).

1481760000 is an abundant number, since it is smaller than the sum of its proper divisors (4903696000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1481760000 is an frugal number, since it uses more digits than its factorization.

1481760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1481760000 is about 38493.6358376291. The cubic root of 1481760000 is about 1140.0553989699.

Multiplying 1481760000 by its product of nonzero digits (1344), we get a square (1991485440000 = 1411200²).

1481760000 divided by its product of nonzero digits (1344) gives a square (1102500 = 1050²).

The spelling of 1481760000 in words is "one billion, four hundred eighty-one million, seven hundred sixty thousand".