470113680 has 80 divisors (see below), whose sum is σ = 1460424384. Its totient is φ = 125099520.

The previous prime is 470113669. The next prime is 470113703. The reversal of 470113680 is 86311074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129490 + ... + 133070.

Almost surely, 2^470113680 is an apocalyptic number.

470113680 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 470113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730212192).

470113680 is an abundant number, since it is smaller than the sum of its proper divisors (990310704).

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

470113680 is a wasteful number, since it uses less digits than its factorization.

470113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 470113680 is about 21682.1050638539. The cubic root of 470113680 is about 777.5606897688.

It can be divided in two parts, 4701 and 13680, that added together give a palindrome (18381).

The spelling of 470113680 in words is "four hundred seventy million, one hundred thirteen thousand, six hundred eighty".