397416768100 has 135 divisors (see below), whose sum is σ = 950452212955. Its totient is φ = 144237808000.

The previous prime is 397416768053. The next prime is 397416768101. The reversal of 397416768100 is 1867614793.

The square root of 397416768100 is 630410.

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 49892369956 + 347524398144 = 223366^2 + 589512^2 .

It is a super-2 number, since 2×397416768100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (397416768101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 762795840 + ... + 762796360.

Almost surely, 2^397416768100 is an apocalyptic number.

397416768100 is the 630410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397416768100

397416768100 is an abundant number, since it is smaller than the sum of its proper divisors (553035444855).

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

397416768100 is an frugal number, since it uses more digits than its factorization.

397416768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 397416768100 in words is "three hundred ninety-seven billion, four hundred sixteen million, seven hundred sixty-eight thousand, one hundred".