457874260 has 72 divisors (see below), whose sum is σ = 1049520024. Its totient is φ = 167639040.

The previous prime is 457874257. The next prime is 457874269. The reversal of 457874260 is 62478754.

It can be written as a sum of positive squares in 12 ways, for example, as 52012944 + 405861316 = 7212^2 + 20146^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457874269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212790 + ... + 214930.

It is an arithmetic number, because the mean of its divisors is an integer number (14576667).

Almost surely, 2^457874260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457874260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524760012).

457874260 is an abundant number, since it is smaller than the sum of its proper divisors (591645764).

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

457874260 is a wasteful number, since it uses less digits than its factorization.

457874260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 457874260 is about 21397.9966351993. The cubic root of 457874260 is about 770.7533303156.

The spelling of 457874260 in words is "four hundred fifty-seven million, eight hundred seventy-four thousand, two hundred sixty".