457364106369 has 45 divisors (see below), whose sum is σ = 688934619219. Its totient is φ = 302381443440.

The previous prime is 457364106323. The next prime is 457364106377. The reversal of 457364106369 is 963601463754.

The square root of 457364106369 is 676287.

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

457364106369 is a `hidden beast` number, since 4 + 573 + 6 + 4 + 1 + 0 + 6 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146602454769 + 310761651600 = 382887^2 + 557460^2 .

It is not a de Polignac number, because 457364106369 - 2⁹ = 457364105857 is a prime.

It is a super-2 number, since 2×457364106369² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (457364106169) 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, 992112799 + ... + 992113259.

Almost surely, 2^457364106369 is an apocalyptic number.

457364106369 is the 676287-th square number.

457364106369 is the 338144-th centered octagonal number.

It is an amenable number.

457364106369 is a deficient number, since it is larger than the sum of its proper divisors (231570512850).

457364106369 is an frugal number, since it uses more digits than its factorization.

457364106369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 457364106369 in words is "four hundred fifty-seven billion, three hundred sixty-four million, one hundred six thousand, three hundred sixty-nine".