472051443600 has 675 divisors, whose sum is σ = 1867552047361. Its totient is φ = 114106924800.

The previous prime is 472051443581. The next prime is 472051443631. The reversal of 472051443600 is 6344150274.

The square root of 472051443600 is 687060.

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

472051443600 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 5 + 1 + 4 + 43 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169938519696 + 302112923904 = 412236^2 + 549648^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1360378627 + ... + 1360378973.

Almost surely, 2^472051443600 is an apocalyptic number.

472051443600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472051443600 is the 687060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472051443600

472051443600 is an abundant number, since it is smaller than the sum of its proper divisors (1395500603761).

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

472051443600 is a wasteful number, since it uses less digits than its factorization.

472051443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 472051443600 by its sum of digits (36), we get a square (16993851969600 = 4122360²).

472051443600 divided by its sum of digits (36) gives a square (13112540100 = 114510²).

Adding to 472051443600 its reverse (6344150274), we get a palindrome (478395593874).

The spelling of 472051443600 in words is "four hundred seventy-two billion, fifty-one million, four hundred forty-three thousand, six hundred".