472625280 has 224 divisors, whose sum is σ = 1695702060. Its totient is φ = 125908992.

The previous prime is 472625273. The next prime is 472625291. The reversal of 472625280 is 82526274.

472625280 is a `hidden beast` number, since 4 + 7 + 2 + 625 + 28 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 86266944 = 19656^2 + 9288^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 466054 + ... + 467066.

Almost surely, 2^472625280 is an apocalyptic number.

472625280 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 472625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847851030).

472625280 is an abundant number, since it is smaller than the sum of its proper divisors (1223076780).

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

472625280 is an equidigital number, since it uses as much as digits as its factorization.

472625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 472625280 is about 21739.9466420688. The cubic root of 472625280 is about 778.9429468307.

The spelling of 472625280 in words is "four hundred seventy-two million, six hundred twenty-five thousand, two hundred eighty".