457828164 has 36 divisors (see below), whose sum is σ = 1173594240. Its totient is φ = 150459120.

The previous prime is 457828117. The next prime is 457828169. The reversal of 457828164 is 461828754.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×457828164² = 419213255503221792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457828169) 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, 87004 + ... + 92115.

It is an arithmetic number, because the mean of its divisors is an integer number (32599840).

Almost surely, 2^457828164 is an apocalyptic number.

It is an amenable number.

457828164 is an abundant number, since it is smaller than the sum of its proper divisors (715766076).

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

457828164 is a wasteful number, since it uses less digits than its factorization.

457828164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179200 (or 179195 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 457828164 is about 21396.9194979090. The cubic root of 457828164 is about 770.7274645260.

The spelling of 457828164 in words is "four hundred fifty-seven million, eight hundred twenty-eight thousand, one hundred sixty-four".