457301253 has 8 divisors (see below), whose sum is σ = 641826400. Its totient is φ = 288821808.

The previous prime is 457301233. The next prime is 457301267. The reversal of 457301253 is 352103754.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 457301253 - 2⁸ = 457300997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457301253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457301213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4011358 + ... + 4011471.

It is an arithmetic number, because the mean of its divisors is an integer number (80228300).

Almost surely, 2^457301253 is an apocalyptic number.

It is an amenable number.

457301253 is a deficient number, since it is larger than the sum of its proper divisors (184525147).

457301253 is a wasteful number, since it uses less digits than its factorization.

457301253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022851.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 457301253 is about 21384.6031761172. The cubic root of 457301253 is about 770.4316762040.

The spelling of 457301253 in words is "four hundred fifty-seven million, three hundred one thousand, two hundred fifty-three".