457143360 has 112 divisors (see below), whose sum is σ = 1498348032. Its totient is φ = 117964800.

The previous prime is 457143359. The next prime is 457143361. The reversal of 457143360 is 63341754.

It is an interprime number because it is at equal distance from previous prime (457143359) and next prime (457143361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457143361) 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, 22080 + ... + 37440.

Almost surely, 2^457143360 is an apocalyptic number.

457143360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749174016).

457143360 is an abundant number, since it is smaller than the sum of its proper divisors (1041204672).

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

457143360 is a wasteful number, since it uses less digits than its factorization.

457143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 457143360 is about 21380.9111124854. The cubic root of 457143360 is about 770.3429966806.

The spelling of 457143360 in words is "four hundred fifty-seven million, one hundred forty-three thousand, three hundred sixty".