470558400 has 168 divisors, whose sum is σ = 1662799824. Its totient is φ = 115814400.

The previous prime is 470558383. The next prime is 470558401. The reversal of 470558400 is 4855074.

It is not an unprimeable number, because it can be changed into a prime (470558401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58630 + ... + 66170.

It is an arithmetic number, because the mean of its divisors is an integer number (9897618).

Almost surely, 2^470558400 is an apocalyptic number.

470558400 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 470558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831399912).

470558400 is an abundant number, since it is smaller than the sum of its proper divisors (1192241424).

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

470558400 is a wasteful number, since it uses less digits than its factorization.

470558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 470558400 is about 21692.3581014144. The cubic root of 470558400 is about 777.8057991416.

It can be divided in two parts, 47055 and 8400, that added together give a palindrome (55455).

The spelling of 470558400 in words is "four hundred seventy million, five hundred fifty-eight thousand, four hundred".