457234560 has 192 divisors, whose sum is σ = 1591836480. Its totient is φ = 120932352.

The previous prime is 457234559. The next prime is 457234571. The reversal of 457234560 is 65432754.

457234560 is a `hidden beast` number, since 4 + 572 + 34 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938637 + ... + 939123.

It is an arithmetic number, because the mean of its divisors is an integer number (8290815).

Almost surely, 2^457234560 is an apocalyptic number.

457234560 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 457234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795918240).

457234560 is an abundant number, since it is smaller than the sum of its proper divisors (1134601920).

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

457234560 is a wasteful number, since it uses less digits than its factorization.

457234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 457234560 is about 21383.0437496630. The cubic root of 457234560 is about 770.3942210272.

The spelling of 457234560 in words is "four hundred fifty-seven million, two hundred thirty-four thousand, five hundred sixty".