472684680 has 256 divisors, whose sum is σ = 1716422400. Its totient is φ = 115015680.

The previous prime is 472684673. The next prime is 472684721. The reversal of 472684680 is 86486274.

472684680 is a `hidden beast` number, since 472 + 68 + 46 + 80 = 666.

It is a super-3 number, since 3×472684680³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1839112 + ... + 1839368.

It is an arithmetic number, because the mean of its divisors is an integer number (6704775).

Almost surely, 2^472684680 is an apocalyptic number.

472684680 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 472684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858211200).

472684680 is an abundant number, since it is smaller than the sum of its proper divisors (1243737720).

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

472684680 is a wasteful number, since it uses less digits than its factorization.

472684680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 472684680 is about 21741.3127478540. The cubic root of 472684680 is about 778.9755782301.

The spelling of 472684680 in words is "four hundred seventy-two million, six hundred eighty-four thousand, six hundred eighty".