470342400 has 432 divisors, whose sum is σ = 1806634368. Its totient is φ = 106496000.

The previous prime is 470342371. The next prime is 470342419. The reversal of 470342400 is 4243074.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3590335 + ... + 3590465.

It is an arithmetic number, because the mean of its divisors is an integer number (4182024).

Almost surely, 2^470342400 is an apocalyptic number.

470342400 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 470342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903317184).

470342400 is an abundant number, since it is smaller than the sum of its proper divisors (1336291968).

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

470342400 is a wasteful number, since it uses less digits than its factorization.

470342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 470342400 is about 21687.3788181052. The cubic root of 470342400 is about 777.6867690944.

Adding to 470342400 its reverse (4243074), we get a palindrome (474585474).

The spelling of 470342400 in words is "four hundred seventy million, three hundred forty-two thousand, four hundred".