470564400 has 120 divisors (see below), whose sum is σ = 1513982464. Its totient is φ = 124934400.

The previous prime is 470564399. The next prime is 470564401. The reversal of 470564400 is 4465074.

It is an interprime number because it is at equal distance from previous prime (470564399) and next prime (470564401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (470564401) 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, 324477 + ... + 325923.

Almost surely, 2^470564400 is an apocalyptic number.

470564400 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 470564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756991232).

470564400 is an abundant number, since it is smaller than the sum of its proper divisors (1043418064).

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

470564400 is a wasteful number, since it uses less digits than its factorization.

470564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 470564400 is about 21692.4963985245. The cubic root of 470564400 is about 777.8091050118.

The spelling of 470564400 in words is "four hundred seventy million, five hundred sixty-four thousand, four hundred".