459793152 has 576 divisors, whose sum is σ = 1813109760. Its totient is φ = 111476736.

The previous prime is 459793129. The next prime is 459793157. The reversal of 459793152 is 251397954.

It is a happy number.

459793152 is a `hidden beast` number, since 4 + 597 + 9 + 3 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×459793152² = 422819485252190208, which contains 22 as substring.

Its product of digits (340200) is a multiple of the sum of its prime factors (105).

It is a junction number, because it is equal to n+sod(n) for n = 459793098 and 459793107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459793157) 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, 10692843 + ... + 10692885.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 2^459793152 is an apocalyptic number.

459793152 is a gapful number since it is divisible by the number (42) 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 459793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906554880).

459793152 is an abundant number, since it is smaller than the sum of its proper divisors (1353316608).

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

459793152 is a wasteful number, since it uses less digits than its factorization.

459793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 459793152 is about 21442.7878784453. The cubic root of 459793152 is about 771.8285389749.

The spelling of 459793152 in words is "four hundred fifty-nine million, seven hundred ninety-three thousand, one hundred fifty-two".