457290001 has 16 divisors (see below), whose sum is σ = 534688000. Its totient is φ = 390930624.

The previous prime is 457289983. The next prime is 457290049. The reversal of 457290001 is 100092754.

It is a happy number.

It is not a de Polignac number, because 457290001 - 2⁵ = 457289969 is a prime.

It is a super-2 number, since 2×457290001² = 418228290029160002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457290091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146980 + ... + 150058.

It is an arithmetic number, because the mean of its divisors is an integer number (33418000).

Almost surely, 2^457290001 is an apocalyptic number.

It is an amenable number.

457290001 is a deficient number, since it is larger than the sum of its proper divisors (77397999).

457290001 is an equidigital number, since it uses as much as digits as its factorization.

457290001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 457290001 is about 21384.3400880177. The cubic root of 457290001 is about 770.4253572708.

The spelling of 457290001 in words is "four hundred fifty-seven million, two hundred ninety thousand, one".