461882400 has 288 divisors, whose sum is σ = 1809884160. Its totient is φ = 99947520.

The previous prime is 461882387. The next prime is 461882413. The reversal of 461882400 is 4288164.

It is an interprime number because it is at equal distance from previous prime (461882387) and next prime (461882413).

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, 318477 + ... + 319923.

It is an arithmetic number, because the mean of its divisors is an integer number (6284320).

Almost surely, 2^461882400 is an apocalyptic number.

461882400 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 461882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904942080).

461882400 is an abundant number, since it is smaller than the sum of its proper divisors (1348001760).

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

461882400 is a wasteful number, since it uses less digits than its factorization.

461882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 461882400 is about 21491.4494625188. The cubic root of 461882400 is about 772.9958065964.

The spelling of 461882400 in words is "four hundred sixty-one million, eight hundred eighty-two thousand, four hundred".