1481480000 has 560 divisors, whose sum is σ = 5065678464. Its totient is φ = 414720000.

The previous prime is 1481479981. The next prime is 1481480023. The reversal of 1481480000 is 841841.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40039982 + ... + 40040018.

Almost surely, 2^1481480000 is an apocalyptic number.

1481480000 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 1481480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532839232).

1481480000 is an abundant number, since it is smaller than the sum of its proper divisors (3584198464).

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

1481480000 is a wasteful number, since it uses less digits than its factorization.

1481480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1481480000 is about 38489.9987009613. The cubic root of 1481480000 is about 1139.9835844563.

It can be divided in two parts, 148 and 1480000, that multiplied together give a square (219040000 = 14800²).

The spelling of 1481480000 in words is "one billion, four hundred eighty-one million, four hundred eighty thousand".