457746025 has 27 divisors (see below), whose sum is σ = 625504453. Its totient is φ = 332050400.

The previous prime is 457746011. The next prime is 457746049. The reversal of 457746025 is 520647754.

The square root of 457746025 is 21395.

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 76090729 + 381655296 = 8723^2 + 19536^2 .

It is not a de Polignac number, because 457746025 - 2¹¹ = 457743977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1176531 + ... + 1176919.

Almost surely, 2^457746025 is an apocalyptic number.

457746025 is the 21395-th square number.

457746025 is the 10698-th centered octagonal number.

It is an amenable number.

457746025 is a deficient number, since it is larger than the sum of its proper divisors (167758428).

457746025 is an equidigital number, since it uses as much as digits as its factorization.

457746025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The cubic root of 457746025 is about 770.6813696702.

The spelling of 457746025 in words is "four hundred fifty-seven million, seven hundred forty-six thousand, twenty-five".