461926080 has 336 divisors, whose sum is σ = 1981833984. Its totient is φ = 95938560.

The previous prime is 461926079. The next prime is 461926097. The reversal of 461926080 is 80629164.

461926080 = 2871² + 2872² + ... + 2925².

461926080 is a `hidden beast` number, since 46 + 1 + 9 + 2 + 608 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220719 + ... + 222801.

Almost surely, 2^461926080 is an apocalyptic number.

461926080 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 461926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990916992).

461926080 is an abundant number, since it is smaller than the sum of its proper divisors (1519907904).

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

461926080 is a wasteful number, since it uses less digits than its factorization.

461926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 461926080 is about 21492.4656565970. The cubic root of 461926080 is about 773.0201731109.

The spelling of 461926080 in words is "four hundred sixty-one million, nine hundred twenty-six thousand, eighty".