470660400 has 360 divisors, whose sum is σ = 1966897920. Its totient is φ = 101813760.

The previous prime is 470660369. The next prime is 470660441. The reversal of 470660400 is 4066074.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478309 + ... + 479291.

Almost surely, 2^470660400 is an apocalyptic number.

470660400 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 470660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983448960).

470660400 is an abundant number, since it is smaller than the sum of its proper divisors (1496237520).

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

470660400 is a wasteful number, since it uses less digits than its factorization.

470660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 470660400 is about 21694.7090323885. The cubic root of 470660400 is about 777.8619951135.

The spelling of 470660400 in words is "four hundred seventy million, six hundred sixty thousand, four hundred".