462468864 has 144 divisors (see below), whose sum is σ = 1446367104. Its totient is φ = 129331200.

The previous prime is 462468823. The next prime is 462468871. The reversal of 462468864 is 468864264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 107719 + ... + 111929.

It is an arithmetic number, because the mean of its divisors is an integer number (10044216).

Almost surely, 2^462468864 is an apocalyptic number.

462468864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

462468864 is an abundant number, since it is smaller than the sum of its proper divisors (983898240).

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

462468864 is a wasteful number, since it uses less digits than its factorization.

462468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4240 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 462468864 is about 21505.0892581268. The cubic root of 462468864 is about 773.3228324641.

The spelling of 462468864 in words is "four hundred sixty-two million, four hundred sixty-eight thousand, eight hundred sixty-four".