457693824 has 128 divisors (see below), whose sum is σ = 1423658880. Its totient is φ = 127549440.

The previous prime is 457693823. The next prime is 457693829. The reversal of 457693824 is 428396754.

It is a tau number, because it is divible by the number of its divisors (128).

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 (457693823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108132 + ... + 112284.

It is an arithmetic number, because the mean of its divisors is an integer number (11122335).

Almost surely, 2^457693824 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 457693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711829440).

457693824 is an abundant number, since it is smaller than the sum of its proper divisors (965965056).

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

457693824 is a wasteful number, since it uses less digits than its factorization.

457693824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4206 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 457693824 is about 21393.7800306538. The cubic root of 457693824 is about 770.6520725889.

The spelling of 457693824 in words is "four hundred fifty-seven million, six hundred ninety-three thousand, eight hundred twenty-four".