472627814400 has 756 divisors, whose sum is σ = 1969731595962. Its totient is φ = 108008570880.

The previous prime is 472627814353. The next prime is 472627814423. The reversal of 472627814400 is 4418726274.

472627814400 is a `hidden beast` number, since 4 + 7 + 2 + 627 + 8 + 14 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 446181249024 + 26446565376 = 667968^2 + 162624^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 53 ways as a sum of consecutive naturals, for example, 90314184 + ... + 90319416.

Almost surely, 2^472627814400 is an apocalyptic number.

472627814400 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 472627814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984865797981).

472627814400 is an abundant number, since it is smaller than the sum of its proper divisors (1497103781562).

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

472627814400 is a wasteful number, since it uses less digits than its factorization.

472627814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 472627814400 in words is "four hundred seventy-two billion, six hundred twenty-seven million, eight hundred fourteen thousand, four hundred".