469564920 has 192 divisors, whose sum is σ = 1674691200. Its totient is φ = 113160960.

The previous prime is 469564903. The next prime is 469564933. The reversal of 469564920 is 29465964.

469564920 is a `hidden beast` number, since 4 + 69 + 564 + 9 + 20 = 666.

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

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, 1120471 + ... + 1120889.

It is an arithmetic number, because the mean of its divisors is an integer number (8722350).

Almost surely, 2^469564920 is an apocalyptic number.

469564920 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 469564920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837345600).

469564920 is an abundant number, since it is smaller than the sum of its proper divisors (1205126280).

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

469564920 is a wasteful number, since it uses less digits than its factorization.

469564920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 469564920 is about 21669.4466934437. The cubic root of 469564920 is about 777.2580251470.

The spelling of 469564920 in words is "four hundred sixty-nine million, five hundred sixty-four thousand, nine hundred twenty".