462500352 has 120 divisors (see below), whose sum is σ = 1381234140. Its totient is φ = 148807680.

The previous prime is 462500341. The next prime is 462500369. The reversal of 462500352 is 253005264.

462500352 is a `hidden beast` number, since 4 + 625 + 0 + 0 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 452157696 + 10342656 = 21264^2 + 3216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131902 + ... + 135362.

Almost surely, 2^462500352 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 462500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690617070).

462500352 is an abundant number, since it is smaller than the sum of its proper divisors (918733788).

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

462500352 is a wasteful number, since it uses less digits than its factorization.

462500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 462500352 is about 21505.8213514388. The cubic root of 462500352 is about 773.3403830775.

The spelling of 462500352 in words is "four hundred sixty-two million, five hundred thousand, three hundred fifty-two".