469896960 has 144 divisors (see below), whose sum is σ = 1616346144. Its totient is φ = 115654656.

The previous prime is 469896913. The next prime is 469896967. The reversal of 469896960 is 69698964.

It is a self number, because there is not a number n which added to its sum of digits gives 469896960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469896967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45214 + ... + 54626.

It is an arithmetic number, because the mean of its divisors is an integer number (11224626).

Almost surely, 2^469896960 is an apocalyptic number.

469896960 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 469896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808173072).

469896960 is an abundant number, since it is smaller than the sum of its proper divisors (1146449184).

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

469896960 is a wasteful number, since it uses less digits than its factorization.

469896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The square root of 469896960 is about 21677.1068180235. The cubic root of 469896960 is about 777.4411875710.

The spelling of 469896960 in words is "four hundred sixty-nine million, eight hundred ninety-six thousand, nine hundred sixty".