453077072100 has 297 divisors, whose sum is σ = 1480100799387. Its totient is φ = 120384377280.

The previous prime is 453077072083. The next prime is 453077072117. The reversal of 453077072100 is 1270770354.

The square root of 453077072100 is 673110.

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

It is an interprime number because it is at equal distance from previous prime (453077072083) and next prime (453077072117).

It can be written as a sum of positive squares in 4 ways, for example, as 103824439524 + 349252632576 = 322218^2 + 590976^2 .

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 98 ways as a sum of consecutive naturals, for example, 1635657162 + ... + 1635657438.

Almost surely, 2^453077072100 is an apocalyptic number.

453077072100 is the 673110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453077072100

453077072100 is an abundant number, since it is smaller than the sum of its proper divisors (1027023727287).

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

453077072100 is an frugal number, since it uses more digits than its factorization.

453077072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

Multiplying 453077072100 by its sum of digits (36), we get a square (16310774595600 = 4038660²).

453077072100 divided by its sum of digits (36) gives a square (12585474225 = 112185²).

The spelling of 453077072100 in words is "four hundred fifty-three billion, seventy-seven million, seventy-two thousand, one hundred".