472357193088400 has 45 divisors (see below), whose sum is σ = 1134839200703971. Its totient is φ = 188942703365120.

The previous prime is 472357193088383. The next prime is 472357193088427. The reversal of 472357193088400 is 4880391753274.

The square root of 472357193088400 is 21733780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63075808752784 + 409281384335616 = 7942028^2 + 20230704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 434132256 + ... + 435218944.

Almost surely, 2^{472357193088400} is an apocalyptic number.

472357193088400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472357193088400 is the 21733780-th square number.

It is an amenable number.

472357193088400 is an abundant number, since it is smaller than the sum of its proper divisors (662482007615571).

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

472357193088400 is an frugal number, since it uses more digits than its factorization.

472357193088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173396 (or 1086696 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 472357193088400 in words is "four hundred seventy-two trillion, three hundred fifty-seven billion, one hundred ninety-three million, eighty-eight thousand, four hundred".