457158240 has 864 divisors, whose sum is σ = 2151152640. Its totient is φ = 87091200.

The previous prime is 457158197. The next prime is 457158253. The reversal of 457158240 is 42851754.

457158240 is a `hidden beast` number, since 4 + 5 + 71 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457158195 and 457158204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14747025 + ... + 14747055.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^457158240 is an apocalyptic number.

457158240 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 457158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

457158240 is an abundant number, since it is smaller than the sum of its proper divisors (1693994400).

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

457158240 is a wasteful number, since it uses less digits than its factorization.

457158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 457158240 is about 21381.2590835994. The cubic root of 457158240 is about 770.3513548022.

The spelling of 457158240 in words is "four hundred fifty-seven million, one hundred fifty-eight thousand, two hundred forty".