472360000 has 210 divisors, whose sum is σ = 1368185478. Its totient is φ = 161280000.

The previous prime is 472359941. The next prime is 472360037. The reversal of 472360000 is 63274.

It can be written as a sum of positive squares in 5 ways, for example, as 126697536 + 345662464 = 11256^2 + 18592^2 .

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 29 ways as a sum of consecutive naturals, for example, 1959880 + ... + 1960120.

Almost surely, 2^472360000 is an apocalyptic number.

472360000 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 472360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684092739).

472360000 is an abundant number, since it is smaller than the sum of its proper divisors (895825478).

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

472360000 is an equidigital number, since it uses as much as digits as its factorization.

472360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 472360000 is about 21733.8445747640. The cubic root of 472360000 is about 778.7971818403.

The spelling of 472360000 in words is "four hundred seventy-two million, three hundred sixty thousand".