474953472 has 216 divisors, whose sum is σ = 1599634400. Its totient is φ = 135475200.

The previous prime is 474953461. The next prime is 474953509. The reversal of 474953472 is 274359474.

474953472 is a `hidden beast` number, since 4 + 7 + 49 + 534 + 72 = 666.

It is a super-3 number, since 3×474953472³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789972 + ... + 790572.

Almost surely, 2^474953472 is an apocalyptic number.

474953472 is a gapful number since it is divisible by the number (42) 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 474953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799817200).

474953472 is an abundant number, since it is smaller than the sum of its proper divisors (1124680928).

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

474953472 is an equidigital number, since it uses as much as digits as its factorization.

474953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 613 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 474953472 is about 21793.4272660360. The cubic root of 474953472 is about 780.2198985524.

The spelling of 474953472 in words is "four hundred seventy-four million, nine hundred fifty-three thousand, four hundred seventy-two".