470013600 has 288 divisors, whose sum is σ = 1772136576. Its totient is φ = 105984000.

The previous prime is 470013517. The next prime is 470013611. The reversal of 470013600 is 6310074.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1696662 + ... + 1696938.

It is an arithmetic number, because the mean of its divisors is an integer number (6153252).

Almost surely, 2^470013600 is an apocalyptic number.

470013600 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 470013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886068288).

470013600 is an abundant number, since it is smaller than the sum of its proper divisors (1302122976).

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

470013600 is a wasteful number, since it uses less digits than its factorization.

470013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 470013600 is about 21679.7970470205. The cubic root of 470013600 is about 777.5055089335.

Adding to 470013600 its reverse (6310074), we get a palindrome (476323674).

The spelling of 470013600 in words is "four hundred seventy million, thirteen thousand, six hundred".