469008960 has 224 divisors, whose sum is σ = 1727557632. Its totient is φ = 105584640.

The previous prime is 469008959. The next prime is 469008997. The reversal of 469008960 is 69800964.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 476629 + ... + 477611.

Almost surely, 2^469008960 is an apocalyptic number.

469008960 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 469008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863778816).

469008960 is an abundant number, since it is smaller than the sum of its proper divisors (1258548672).

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

469008960 is a wasteful number, since it uses less digits than its factorization.

469008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 469008960 is about 21656.6146938990. The cubic root of 469008960 is about 776.9511488528.

The spelling of 469008960 in words is "four hundred sixty-nine million, eight thousand, nine hundred sixty".