462874016 has 96 divisors (see below), whose sum is σ = 1038235968. Its totient is φ = 201277440.

The previous prime is 462874003. The next prime is 462874021. The reversal of 462874016 is 610478264.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801920 + ... + 802496.

It is an arithmetic number, because the mean of its divisors is an integer number (10814958).

Almost surely, 2^462874016 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 462874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519117984).

462874016 is an abundant number, since it is smaller than the sum of its proper divisors (575361952).

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

462874016 is a wasteful number, since it uses less digits than its factorization.

462874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 462874016 is about 21514.5071056717. The cubic root of 462874016 is about 773.5485931347.

It can be divided in two parts, 462 and 874016, that added together give a palindrome (874478).

The spelling of 462874016 in words is "four hundred sixty-two million, eight hundred seventy-four thousand, sixteen".