469882920 has 256 divisors, whose sum is σ = 1625702400. Its totient is φ = 107688960.

The previous prime is 469882913. The next prime is 469882927. The reversal of 469882920 is 29288964.

It is an interprime number because it is at equal distance from previous prime (469882913) and next prime (469882927).

It is a self number, because there is not a number n which added to its sum of digits gives 469882920.

It is not an unprimeable number, because it can be changed into a prime (469882927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2460025 + ... + 2460215.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^469882920 is an apocalyptic number.

469882920 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 469882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

469882920 is an abundant number, since it is smaller than the sum of its proper divisors (1155819480).

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

469882920 is a wasteful number, since it uses less digits than its factorization.

469882920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 469882920 is about 21676.7829716496. The cubic root of 469882920 is about 777.4334444671.

The spelling of 469882920 in words is "four hundred sixty-nine million, eight hundred eighty-two thousand, nine hundred twenty".