461506920 has 256 divisors, whose sum is σ = 1680998400. Its totient is φ = 99118080.

The previous prime is 461506901. The next prime is 461506931. The reversal of 461506920 is 29605164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963241 + ... + 963719.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2^461506920 is an apocalyptic number.

461506920 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 461506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840499200).

461506920 is an abundant number, since it is smaller than the sum of its proper divisors (1219491480).

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

461506920 is a wasteful number, since it uses less digits than its factorization.

461506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 461506920 is about 21482.7121192833. The cubic root of 461506920 is about 772.7862849008.

The spelling of 461506920 in words is "four hundred sixty-one million, five hundred six thousand, nine hundred twenty".