462613680 has 240 divisors, whose sum is σ = 1645207200. Its totient is φ = 120766464.

The previous prime is 462613667. The next prime is 462613681. The reversal of 462613680 is 86316264.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×462613680² = 428022833846284800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (462613681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030096 + ... + 1030544.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^462613680 is an apocalyptic number.

462613680 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 462613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

462613680 is an abundant number, since it is smaller than the sum of its proper divisors (1182593520).

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

462613680 is a wasteful number, since it uses less digits than its factorization.

462613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 462613680 is about 21508.4560115318. The cubic root of 462613680 is about 773.4035426414.

The spelling of 462613680 in words is "four hundred sixty-two million, six hundred thirteen thousand, six hundred eighty".