462665280 has 336 divisors, whose sum is σ = 1848551040. Its totient is φ = 95969280.

The previous prime is 462665267. The next prime is 462665311. The reversal of 462665280 is 82566264.

462665280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×462665280² = 428118322634956800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 47 ways as a sum of consecutive naturals, for example, 812836 + ... + 813404.

It is an arithmetic number, because the mean of its divisors is an integer number (5501640).

Almost surely, 2^462665280 is an apocalyptic number.

462665280 is a gapful number since it is divisible by the number (40) 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 462665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924275520).

462665280 is an abundant number, since it is smaller than the sum of its proper divisors (1385885760).

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

462665280 is a wasteful number, since it uses less digits than its factorization.

462665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 462665280 is about 21509.6555063069. The cubic root of 462665280 is about 773.4322967551.

The spelling of 462665280 in words is "four hundred sixty-two million, six hundred sixty-five thousand, two hundred eighty".