457464864 has 96 divisors (see below), whose sum is σ = 1229921280. Its totient is φ = 148838400.

The previous prime is 457464863. The next prime is 457464899. The reversal of 457464864 is 468464754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (457464863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1118292 + ... + 1118700.

It is an arithmetic number, because the mean of its divisors is an integer number (12811680).

Almost surely, 2^457464864 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 457464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614960640).

457464864 is an abundant number, since it is smaller than the sum of its proper divisors (772456416).

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

457464864 is a wasteful number, since it uses less digits than its factorization.

457464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 457464864 is about 21388.4282732509. The cubic root of 457464864 is about 770.5235456712.

The spelling of 457464864 in words is "four hundred fifty-seven million, four hundred sixty-four thousand, eight hundred sixty-four".