472363278566400 has 3267 divisors, whose sum is σ = 1947074615610759. Its totient is φ = 113569990410240.

The previous prime is 472363278566371. The next prime is 472363278566551. The reversal of 472363278566400 is 4665872363274.

The square root of 472363278566400 is 21733920.

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

472363278566400 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 6 + 3 + 27 + 8 + 566 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121752333812736 + 350610944753664 = 11034144^2 + 18724608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 10985192524779 + ... + 10985192524821.

Almost surely, 2^{472363278566400} is an apocalyptic number.

472363278566400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472363278566400 is the 21733920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472363278566400

472363278566400 is an abundant number, since it is smaller than the sum of its proper divisors (1474711337044359).

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

472363278566400 is an frugal number, since it uses more digits than its factorization.

472363278566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 472363278566400 in words is "four hundred seventy-two trillion, three hundred sixty-three billion, two hundred seventy-eight million, five hundred sixty-six thousand, four hundred".