457629341 has 12 divisors (see below), whose sum is σ = 522184572. Its totient is φ = 397302144.

The previous prime is 457629301. The next prime is 457629353. The reversal of 457629341 is 143926754.

It can be written as a sum of positive squares in 2 ways, for example, as 207072100 + 250557241 = 14390^2 + 15829^2 .

It is not a de Polignac number, because 457629341 - 2²⁶ = 390520477 is a prime.

It is a super-2 number, since 2×457629341² = 418849227488188562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457629301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317300 + ... + 318738.

It is an arithmetic number, because the mean of its divisors is an integer number (43515381).

Almost surely, 2^457629341 is an apocalyptic number.

It is an amenable number.

457629341 is a deficient number, since it is larger than the sum of its proper divisors (64555231).

457629341 is an equidigital number, since it uses as much as digits as its factorization.

457629341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 1469 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 457629341 is about 21392.2729273913. The cubic root of 457629341 is about 770.6158793312.

The spelling of 457629341 in words is "four hundred fifty-seven million, six hundred twenty-nine thousand, three hundred forty-one".