470152320 has 256 divisors, whose sum is σ = 1657687680. Its totient is φ = 112394240.

The previous prime is 470152313. The next prime is 470152337. The reversal of 470152320 is 23251074.

It is a super-4 number, since 4×470152320⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386462 + ... + 2386658.

Almost surely, 2^470152320 is an apocalyptic number.

470152320 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 470152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828843840).

470152320 is an abundant number, since it is smaller than the sum of its proper divisors (1187535360).

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

470152320 is a wasteful number, since it uses less digits than its factorization.

470152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 470152320 is about 21682.9961029374. The cubic root of 470152320 is about 777.5819925041.

The spelling of 470152320 in words is "four hundred seventy million, one hundred fifty-two thousand, three hundred twenty".