469456560 has 480 divisors, whose sum is σ = 1819883520. Its totient is φ = 111974400.

The previous prime is 469456543. The next prime is 469456583. The reversal of 469456560 is 65654964.

469456560 is a `hidden beast` number, since 46 + 9 + 45 + 6 + 560 = 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 95 ways as a sum of consecutive naturals, for example, 11450140 + ... + 11450180.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^469456560 is an apocalyptic number.

469456560 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 469456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

469456560 is an abundant number, since it is smaller than the sum of its proper divisors (1350426960).

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

469456560 is a wasteful number, since it uses less digits than its factorization.

469456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 469456560 is about 21666.9462546063. The cubic root of 469456560 is about 777.1982320949.

The spelling of 469456560 in words is "four hundred sixty-nine million, four hundred fifty-six thousand, five hundred sixty".