472395036100 has 243 divisors, whose sum is σ = 1182956181141. Its totient is φ = 163634764800.

The previous prime is 472395036089. The next prime is 472395036101. The reversal of 472395036100 is 1630593274.

It is a happy number.

The square root of 472395036100 is 687310.

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

It can be written as a sum of positive squares in 13 ways, for example, as 344036210116 + 128358825984 = 586546^2 + 358272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472395036101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1518954945 + ... + 1518955255.

Almost surely, 2^472395036100 is an apocalyptic number.

472395036100 is the 687310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472395036100

472395036100 is an abundant number, since it is smaller than the sum of its proper divisors (710561145041).

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

472395036100 is a wasteful number, since it uses less digits than its factorization.

472395036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 472395036100 in words is "four hundred seventy-two billion, three hundred ninety-five million, thirty-six thousand, one hundred".