457474164 has 96 divisors (see below), whose sum is σ = 1251403776. Its totient is φ = 127370880.

The previous prime is 457474133. The next prime is 457474181. The reversal of 457474164 is 461474754.

It is a super-2 number, since 2×457474164² = 418565221454997792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939129 + ... + 939615.

It is an arithmetic number, because the mean of its divisors is an integer number (13035456).

Almost surely, 2^457474164 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 457474164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625701888).

457474164 is an abundant number, since it is smaller than the sum of its proper divisors (793929612).

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

457474164 is a wasteful number, since it uses less digits than its factorization.

457474164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 457474164 is about 21388.6456794253. The cubic root of 457474164 is about 770.5287670707.

The spelling of 457474164 in words is "four hundred fifty-seven million, four hundred seventy-four thousand, one hundred sixty-four".