457724401 has 2 divisors, whose sum is σ = 457724402. Its totient is φ = 457724400.

The previous prime is 457724327. The next prime is 457724437. The reversal of 457724401 is 104427754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381616225 + 76108176 = 19535^2 + 8724^2 .

It is a cyclic number.

It is not a de Polignac number, because 457724401 - 2¹⁹ = 457200113 is a prime.

It is not a weakly prime, because it can be changed into another prime (457724441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228862200 + 228862201.

It is an arithmetic number, because the mean of its divisors is an integer number (228862201).

Almost surely, 2^457724401 is an apocalyptic number.

It is an amenable number.

457724401 is a deficient number, since it is larger than the sum of its proper divisors (1).

457724401 is an equidigital number, since it uses as much as digits as its factorization.

457724401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 457724401 is about 21394.4946423139. The cubic root of 457724401 is about 770.6692337728.

The spelling of 457724401 in words is "four hundred fifty-seven million, seven hundred twenty-four thousand, four hundred one".