481580352 has 252 divisors, whose sum is σ = 1605722976. Its totient is φ = 136826880.

The previous prime is 481580339. The next prime is 481580399. The reversal of 481580352 is 253085184.

It is a happy number.

481580352 is a `hidden beast` number, since 48 + 1 + 580 + 35 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1830973 + ... + 1831235.

Almost surely, 2^481580352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802861488).

481580352 is an abundant number, since it is smaller than the sum of its proper divisors (1124142624).

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

481580352 is a wasteful number, since it uses less digits than its factorization.

481580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 481580352 is about 21944.9390976599. The cubic root of 481580352 is about 783.8318742638.

The spelling of 481580352 in words is "four hundred eighty-one million, five hundred eighty thousand, three hundred fifty-two".