461083392 has 432 divisors, whose sum is σ = 1744823808. Its totient is φ = 113541120.

The previous prime is 461083379. The next prime is 461083423. The reversal of 461083392 is 293380164.

461083392 is a `hidden beast` number, since 4 + 610 + 8 + 3 + 39 + 2 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080328 + ... + 4080440.

It is an arithmetic number, because the mean of its divisors is an integer number (4038944).

Almost surely, 2^461083392 is an apocalyptic number.

461083392 is a gapful number since it is divisible by the number (42) 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 461083392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872411904).

461083392 is an abundant number, since it is smaller than the sum of its proper divisors (1283740416).

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

461083392 is a wasteful number, since it uses less digits than its factorization.

461083392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 461083392 is about 21472.8524420953. The cubic root of 461083392 is about 772.5498154949.

It can be divided in two parts, 46 and 1083392, that multiplied together give a cube (49836032 = 368³).

The spelling of 461083392 in words is "four hundred sixty-one million, eighty-three thousand, three hundred ninety-two".