462001152 has 88 divisors (see below), whose sum is σ = 1252764000. Its totient is φ = 151330816.

The previous prime is 462001139. The next prime is 462001181. The reversal of 462001152 is 251100264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179974 + ... + 182522.

Almost surely, 2^462001152 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 462001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626382000).

462001152 is an abundant number, since it is smaller than the sum of its proper divisors (790762848).

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

462001152 is a wasteful number, since it uses less digits than its factorization.

462001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 462001152 is about 21494.2120581332. The cubic root of 462001152 is about 773.0620477956.

The spelling of 462001152 in words is "four hundred sixty-two million, one thousand, one hundred fifty-two".