470096000 has 128 divisors (see below), whose sum is σ = 1275505920. Its totient is φ = 170880000.

The previous prime is 470095993. The next prime is 470096027. The reversal of 470096000 is 690074.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174665 + ... + 177335.

It is an arithmetic number, because the mean of its divisors is an integer number (9964890).

Almost surely, 2^470096000 is an apocalyptic number.

470096000 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 470096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637752960).

470096000 is an abundant number, since it is smaller than the sum of its proper divisors (805409920).

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

470096000 is a wasteful number, since it uses less digits than its factorization.

470096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 470096000 is about 21681.6973505305. The cubic root of 470096000 is about 777.5509421652.

The spelling of 470096000 in words is "four hundred seventy million, ninety-six thousand".