470252160 has 384 divisors, whose sum is σ = 1890345600. Its totient is φ = 105504768.

The previous prime is 470252149. The next prime is 470252177. The reversal of 470252160 is 61252074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×470252160² = 442274187969331200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4314186 + ... + 4314294.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^470252160 is an apocalyptic number.

470252160 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 470252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945172800).

470252160 is an abundant number, since it is smaller than the sum of its proper divisors (1420093440).

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

470252160 is a wasteful number, since it uses less digits than its factorization.

470252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 470252160 is about 21685.2982455856. The cubic root of 470252160 is about 777.6370301931.

The spelling of 470252160 in words is "four hundred seventy million, two hundred fifty-two thousand, one hundred sixty".