470890400 has 72 divisors (see below), whose sum is σ = 1189259820. Its totient is φ = 181852160.

The previous prime is 470890397. The next prime is 470890411. The reversal of 470890400 is 4098074.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 169937296 + 300953104 = 13036^2 + 17348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13052 + ... + 33348.

Almost surely, 2^470890400 is an apocalyptic number.

470890400 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 470890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594629910).

470890400 is an abundant number, since it is smaller than the sum of its proper divisors (718369420).

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

470890400 is a wasteful number, since it uses less digits than its factorization.

470890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20346 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 470890400 is about 21700.0092165879. The cubic root of 470890400 is about 777.9886817323.

The spelling of 470890400 in words is "four hundred seventy million, eight hundred ninety thousand, four hundred".