457713984 has 448 divisors, whose sum is σ = 1671376896. Its totient is φ = 107053056.

The previous prime is 457713983. The next prime is 457714003. The reversal of 457713984 is 489317754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×457713984² = 419004182298304512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457713983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6831519 + ... + 6831585.

It is an arithmetic number, because the mean of its divisors is an integer number (3730752).

Almost surely, 2^457713984 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 457713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835688448).

457713984 is an abundant number, since it is smaller than the sum of its proper divisors (1213662912).

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

457713984 is a wasteful number, since it uses less digits than its factorization.

457713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 457713984 is about 21394.2511904483. The cubic root of 457713984 is about 770.6633873710.

The spelling of 457713984 in words is "four hundred fifty-seven million, seven hundred thirteen thousand, nine hundred eighty-four".