472287372480 has 672 divisors, whose sum is σ = 2059699898880. Its totient is φ = 96471613440.

The previous prime is 472287372457. The next prime is 472287372521. The reversal of 472287372480 is 84273782274.

472287372480 is a `hidden beast` number, since 4 + 7 + 2 + 28 + 73 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×472287372480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13065792 + ... + 13101888.

Almost surely, 2^472287372480 is an apocalyptic number.

472287372480 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 472287372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029849949440).

472287372480 is an abundant number, since it is smaller than the sum of its proper divisors (1587412526400).

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

472287372480 is a wasteful number, since it uses less digits than its factorization.

472287372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36197 (or 36184 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 472287372480 in words is "four hundred seventy-two billion, two hundred eighty-seven million, three hundred seventy-two thousand, four hundred eighty".