472619520 has 240 divisors, whose sum is σ = 1665141192. Its totient is φ = 123863040.

The previous prime is 472619503. The next prime is 472619527. The reversal of 472619520 is 25916274.

472619520 is a `hidden beast` number, since 4 + 72 + 61 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420086016 + 52533504 = 20496^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (472619527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1681780 + ... + 1682060.

Almost surely, 2^472619520 is an apocalyptic number.

472619520 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 472619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832570596).

472619520 is an abundant number, since it is smaller than the sum of its proper divisors (1192521672).

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

472619520 is a wasteful number, since it uses less digits than its factorization.

472619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 472619520 is about 21739.8141666391. The cubic root of 472619520 is about 778.9397824284.

The spelling of 472619520 in words is "four hundred seventy-two million, six hundred nineteen thousand, five hundred twenty".