472590720 has 256 divisors, whose sum is σ = 1913356800. Its totient is φ = 107993088.

The previous prime is 472590709. The next prime is 472590737. The reversal of 472590720 is 27095274.

472590720 is a `hidden beast` number, since 47 + 2 + 590 + 7 + 20 = 666.

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 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 31 ways as a sum of consecutive naturals, for example, 119007 + ... + 122913.

It is an arithmetic number, because the mean of its divisors is an integer number (7474050).

Almost surely, 2^472590720 is an apocalyptic number.

472590720 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 472590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956678400).

472590720 is an abundant number, since it is smaller than the sum of its proper divisors (1440766080).

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

472590720 is a wasteful number, since it uses less digits than its factorization.

472590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 472590720 is about 21739.1517773808. The cubic root of 472590720 is about 778.9239600311.

The spelling of 472590720 in words is "four hundred seventy-two million, five hundred ninety thousand, seven hundred twenty".