461041920 has 216 divisors, whose sum is σ = 1647889152. Its totient is φ = 118886400.

The previous prime is 461041891. The next prime is 461041943. The reversal of 461041920 is 29140164.

461041920 is a `hidden beast` number, since 4 + 610 + 41 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356475 + ... + 357765.

Almost surely, 2^461041920 is an apocalyptic number.

461041920 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 461041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823944576).

461041920 is an abundant number, since it is smaller than the sum of its proper divisors (1186847232).

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

461041920 is a wasteful number, since it uses less digits than its factorization.

461041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 461041920 is about 21471.8867359159. The cubic root of 461041920 is about 772.5266525508.

The spelling of 461041920 in words is "four hundred sixty-one million, forty-one thousand, nine hundred twenty".