468961920 has 256 divisors, whose sum is σ = 1898668800. Its totient is φ = 107163648.

The previous prime is 468961919. The next prime is 468961937. The reversal of 468961920 is 29169864.

It is a happy number.

468961920 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119022 + ... + 122898.

It is an arithmetic number, because the mean of its divisors is an integer number (7416675).

Almost surely, 2^468961920 is an apocalyptic number.

468961920 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 468961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949334400).

468961920 is an abundant number, since it is smaller than the sum of its proper divisors (1429706880).

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

468961920 is a wasteful number, since it uses less digits than its factorization.

468961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 468961920 is about 21655.5286243490. The cubic root of 468961920 is about 776.9251728004.

The spelling of 468961920 in words is "four hundred sixty-eight million, nine hundred sixty-one thousand, nine hundred twenty".