462158964 has 144 divisors (see below), whose sum is σ = 1328745600. Its totient is φ = 134652672.

The previous prime is 462158903. The next prime is 462158999. The reversal of 462158964 is 469851264.

462158964 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 589 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455722 + ... + 456734.

It is an arithmetic number, because the mean of its divisors is an integer number (9227400).

Almost surely, 2^462158964 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 462158964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664372800).

462158964 is an abundant number, since it is smaller than the sum of its proper divisors (866586636).

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

462158964 is a wasteful number, since it uses less digits than its factorization.

462158964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1089 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 462158964 is about 21497.8827794739. The cubic root of 462158964 is about 773.1500595384.

The spelling of 462158964 in words is "four hundred sixty-two million, one hundred fifty-eight thousand, nine hundred sixty-four".