470253922560 has 432 divisors, whose sum is σ = 1729855056384. Its totient is φ = 117682126848.

The previous prime is 470253922511. The next prime is 470253922561. The reversal of 470253922560 is 65229352074.

470253922560 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 5 + 392 + 256 + 0 = 666.

It is a super-2 number, since 2×470253922560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (470253922561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14026137 + ... + 14059623.

It is an arithmetic number, because the mean of its divisors is an integer number (4004294112).

Almost surely, 2^470253922560 is an apocalyptic number.

470253922560 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 470253922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864927528192).

470253922560 is an abundant number, since it is smaller than the sum of its proper divisors (1259601133824).

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

470253922560 is a wasteful number, since it uses less digits than its factorization.

470253922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33590 (or 33573 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 470253922560 in words is "four hundred seventy billion, two hundred fifty-three million, nine hundred twenty-two thousand, five hundred sixty".