468421920 has 192 divisors, whose sum is σ = 1696464000. Its totient is φ = 120572928.

The previous prime is 468421909. The next prime is 468421939. The reversal of 468421920 is 29124864.

468421920 is a `hidden beast` number, since 468 + 4 + 2 + 192 + 0 = 666.

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

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, 123411 + ... + 127149.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2^468421920 is an apocalyptic number.

468421920 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 468421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

468421920 is an abundant number, since it is smaller than the sum of its proper divisors (1228042080).

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

468421920 is a wasteful number, since it uses less digits than its factorization.

468421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468421920 is about 21643.0570853565. The cubic root of 468421920 is about 776.6268538191.

The spelling of 468421920 in words is "four hundred sixty-eight million, four hundred twenty-one thousand, nine hundred twenty".