470882160 has 300 divisors, whose sum is σ = 1903737528. Its totient is φ = 107557632.

The previous prime is 470882147. The next prime is 470882173. The reversal of 470882160 is 61288074.

It is an interprime number because it is at equal distance from previous prime (470882147) and next prime (470882173).

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 59 ways as a sum of consecutive naturals, for example, 316779 + ... + 318261.

Almost surely, 2^470882160 is an apocalyptic number.

470882160 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 470882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951868764).

470882160 is an abundant number, since it is smaller than the sum of its proper divisors (1432855368).

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

470882160 is a wasteful number, since it uses less digits than its factorization.

470882160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 470882160 is about 21699.8193540868. The cubic root of 470882160 is about 777.9841437591.

It can be divided in two parts, 4708 and 82160, that added together give a palindrome (86868).

The spelling of 470882160 in words is "four hundred seventy million, eight hundred eighty-two thousand, one hundred sixty".