470375424 has 220 divisors, whose sum is σ = 1444510584. Its totient is φ = 152395776.

The previous prime is 470375417. The next prime is 470375449. The reversal of 470375424 is 424573074.

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 19 ways as a sum of consecutive naturals, for example, 4395979 + ... + 4396085.

Almost surely, 2^470375424 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 470375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722255292).

470375424 is an abundant number, since it is smaller than the sum of its proper divisors (974135160).

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

470375424 is a wasteful number, since it uses less digits than its factorization.

470375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 470375424 is about 21688.1401692261. The cubic root of 470375424 is about 777.7049698256.

The spelling of 470375424 in words is "four hundred seventy million, three hundred seventy-five thousand, four hundred twenty-four".