462534336 has 168 divisors, whose sum is σ = 1486137744. Its totient is φ = 136304640.

The previous prime is 462534329. The next prime is 462534341. The reversal of 462534336 is 633435264.

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 462534336.

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, 233446 + ... + 235418.

It is an arithmetic number, because the mean of its divisors is an integer number (8846058).

Almost surely, 2^462534336 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 462534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743068872).

462534336 is an abundant number, since it is smaller than the sum of its proper divisors (1023603408).

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

462534336 is a wasteful number, since it uses less digits than its factorization.

462534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2026 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 462534336 is about 21506.6114485755. The cubic root of 462534336 is about 773.3593240043.

The spelling of 462534336 in words is "four hundred sixty-two million, five hundred thirty-four thousand, three hundred thirty-six".