480572352 has 168 divisors, whose sum is σ = 1539022576. Its totient is φ = 147806208.

The previous prime is 480572341. The next prime is 480572383. The reversal of 480572352 is 253275084.

480572352 is a `hidden beast` number, since 4 + 80 + 572 + 3 + 5 + 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 23 ways as a sum of consecutive naturals, for example, 200988 + ... + 203364.

Almost surely, 2^480572352 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 480572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769511288).

480572352 is an abundant number, since it is smaller than the sum of its proper divisors (1058450224).

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

480572352 is a wasteful number, since it uses less digits than its factorization.

480572352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 480572352 is about 21921.9604962695. The cubic root of 480572352 is about 783.2846105000.

The spelling of 480572352 in words is "four hundred eighty million, five hundred seventy-two thousand, three hundred fifty-two".