472813308 has 144 divisors (see below), whose sum is σ = 1364920480. Its totient is φ = 141419520.

The previous prime is 472813307. The next prime is 472813399. The reversal of 472813308 is 803318274.

472813308 is a `hidden beast` number, since 47 + 281 + 330 + 8 = 666.

It is a super-3 number, since 3×472813308³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472813307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1267410 + ... + 1267782.

Almost surely, 2^472813308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472813308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682460240).

472813308 is an abundant number, since it is smaller than the sum of its proper divisors (892107172).

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

472813308 is a wasteful number, since it uses less digits than its factorization.

472813308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 472813308 is about 21744.2706936793. The cubic root of 472813308 is about 779.0462306739.

The spelling of 472813308 in words is "four hundred seventy-two million, eight hundred thirteen thousand, three hundred eight".