457301268 has 24 divisors (see below), whose sum is σ = 1185596160. Its totient is φ = 152433720.

The previous prime is 457301267. The next prime is 457301269. The reversal of 457301268 is 862103754.

It is an interprime number because it is at equal distance from previous prime (457301267) and next prime (457301269).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457301267) 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, 2117028 + ... + 2117243.

It is an arithmetic number, because the mean of its divisors is an integer number (49399840).

Almost surely, 2^457301268 is an apocalyptic number.

It is an amenable number.

457301268 is an abundant number, since it is smaller than the sum of its proper divisors (728294892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457301268 is a wasteful number, since it uses less digits than its factorization.

457301268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234284 (or 4234276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 457301268 is about 21384.6035268368. The cubic root of 457301268 is about 770.4316846277.

The spelling of 457301268 in words is "four hundred fifty-seven million, three hundred one thousand, two hundred sixty-eight".