461932920 has 192 divisors, whose sum is σ = 1601233920. Its totient is φ = 115222272.

The previous prime is 461932871. The next prime is 461932973. The reversal of 461932920 is 29239164.

461932920 is a `hidden beast` number, since 4 + 619 + 32 + 9 + 2 + 0 = 666.

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

It is a congruent number.

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, 388567 + ... + 389753.

It is an arithmetic number, because the mean of its divisors is an integer number (8339760).

Almost surely, 2^461932920 is an apocalyptic number.

461932920 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 461932920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800616960).

461932920 is an abundant number, since it is smaller than the sum of its proper divisors (1139301000).

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

461932920 is a wasteful number, since it uses less digits than its factorization.

461932920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 461932920 is about 21492.6247815384. The cubic root of 461932920 is about 773.0239886073.

The spelling of 461932920 in words is "four hundred sixty-one million, nine hundred thirty-two thousand, nine hundred twenty".