1481745600 has 252 divisors, whose sum is σ = 5391201816. Its totient is φ = 385781760.

The previous prime is 1481745581. The next prime is 1481745613. The reversal of 1481745600 is 65471841.

It is a happy number.

1481745600 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 7 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 618004 + ... + 620396.

It is an arithmetic number, because the mean of its divisors is an integer number (21393658).

Almost surely, 2^1481745600 is an apocalyptic number.

1481745600 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 1481745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695600908).

1481745600 is an abundant number, since it is smaller than the sum of its proper divisors (3909456216).

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

1481745600 is a wasteful number, since it uses less digits than its factorization.

1481745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1481745600 is about 38493.4487932687. The cubic root of 1481745600 is about 1140.0517058727.

The spelling of 1481745600 in words is "one billion, four hundred eighty-one million, seven hundred forty-five thousand, six hundred".