459642456 has 288 divisors, whose sum is σ = 1604846880. Its totient is φ = 115706880.

The previous prime is 459642353. The next prime is 459642457. The reversal of 459642456 is 654246954.

459642456 is a `hidden beast` number, since 4 + 596 + 4 + 2 + 4 + 56 = 666.

It is a super-2 number, since 2×459642456² = 422542374715423872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459642457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6296436 + ... + 6296508.

It is an arithmetic number, because the mean of its divisors is an integer number (5572385).

Almost surely, 2^459642456 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 459642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802423440).

459642456 is an abundant number, since it is smaller than the sum of its proper divisors (1145204424).

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

459642456 is a wasteful number, since it uses less digits than its factorization.

459642456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 459642456 is about 21439.2736817272. The cubic root of 459642456 is about 771.7442081678.

The spelling of 459642456 in words is "four hundred fifty-nine million, six hundred forty-two thousand, four hundred fifty-six".