470476224 has 168 divisors, whose sum is σ = 1490654880. Its totient is φ = 141115392.

The previous prime is 470476217. The next prime is 470476231. The reversal of 470476224 is 422674074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (470476217) and next prime (470476231).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224172 + ... + 226260.

Almost surely, 2^470476224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745327440).

470476224 is an abundant number, since it is smaller than the sum of its proper divisors (1020178656).

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

470476224 is a wasteful number, since it uses less digits than its factorization.

470476224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 470476224 is about 21690.4638954541. The cubic root of 470476224 is about 777.7605191151.

The spelling of 470476224 in words is "four hundred seventy million, four hundred seventy-six thousand, two hundred twenty-four".