470564640 has 864 divisors, whose sum is σ = 2195968320. Its totient is φ = 94058496.

The previous prime is 470564603. The next prime is 470564669. The reversal of 470564640 is 46465074.

470564640 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 470564595 and 470564604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766551 + ... + 24766569.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^470564640 is an apocalyptic number.

470564640 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 470564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160).

470564640 is an abundant number, since it is smaller than the sum of its proper divisors (1725403680).

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

470564640 is a wasteful number, since it uses less digits than its factorization.

470564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 470564640 is about 21692.5019303906. The cubic root of 470564640 is about 777.8092372460.

The spelling of 470564640 in words is "four hundred seventy million, five hundred sixty-four thousand, six hundred forty".