457279424 has 112 divisors (see below), whose sum is σ = 1092281280. Its totient is φ = 185794560.

The previous prime is 457279423. The next prime is 457279451. The reversal of 457279424 is 424972754.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×457279424² = 418208943227543552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457279423) 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, 792224 + ... + 792800.

Almost surely, 2^457279424 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 457279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546140640).

457279424 is an abundant number, since it is smaller than the sum of its proper divisors (635001856).

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

457279424 is a wasteful number, since it uses less digits than its factorization.

457279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 457279424 is about 21384.0927794471. The cubic root of 457279424 is about 770.4194173116.

The spelling of 457279424 in words is "four hundred fifty-seven million, two hundred seventy-nine thousand, four hundred twenty-four".