470153376 has 384 divisors, whose sum is σ = 1765048320. Its totient is φ = 118195200.

The previous prime is 470153323. The next prime is 470153389. The reversal of 470153376 is 673351074.

470153376 is a `hidden beast` number, since 470 + 153 + 37 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470153376.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461441 + ... + 2461631.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^470153376 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 470153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

470153376 is an abundant number, since it is smaller than the sum of its proper divisors (1294894944).

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

470153376 is a wasteful number, since it uses less digits than its factorization.

470153376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 470153376 is about 21683.0204538021. The cubic root of 470153376 is about 777.5825746743.

The spelling of 470153376 in words is "four hundred seventy million, one hundred fifty-three thousand, three hundred seventy-six".