468205920 has 480 divisors, whose sum is σ = 2038817088. Its totient is φ = 98537472.

The previous prime is 468205919. The next prime is 468205939. The reversal of 468205920 is 29502864.

It is a happy number.

468205920 is a `hidden beast` number, since 4 + 68 + 2 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1179162 + ... + 1179558.

Almost surely, 2^468205920 is an apocalyptic number.

468205920 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 468205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019408544).

468205920 is an abundant number, since it is smaller than the sum of its proper divisors (1570611168).

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

468205920 is a wasteful number, since it uses less digits than its factorization.

468205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 468205920 is about 21638.0664570566. The cubic root of 468205920 is about 776.5074620311.

The spelling of 468205920 in words is "four hundred sixty-eight million, two hundred five thousand, nine hundred twenty".