470674400 has 108 divisors (see below), whose sum is σ = 1336742568. Its totient is φ = 161360640.

The previous prime is 470674367. The next prime is 470674417. The reversal of 470674400 is 4476074.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33197 + ... + 45203.

It is an arithmetic number, because the mean of its divisors is an integer number (12377246).

Almost surely, 2^470674400 is an apocalyptic number.

470674400 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 470674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668371284).

470674400 is an abundant number, since it is smaller than the sum of its proper divisors (866068168).

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

470674400 is a wasteful number, since it uses less digits than its factorization.

470674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 470674400 is about 21695.0316893062. The cubic root of 470674400 is about 777.8697076524.

The spelling of 470674400 in words is "four hundred seventy million, six hundred seventy-four thousand, four hundred".