459742752 has 144 divisors (see below), whose sum is σ = 1510209792. Its totient is φ = 129945600.

The previous prime is 459742739. The next prime is 459742793. The reversal of 459742752 is 257247954.

459742752 is a `hidden beast` number, since 4 + 597 + 4 + 2 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×459742752² = 422726796033067008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459742698 and 459742707.

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, 194377 + ... + 196727.

It is an arithmetic number, because the mean of its divisors is an integer number (10487568).

Almost surely, 2^459742752 is an apocalyptic number.

459742752 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 459742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755104896).

459742752 is an abundant number, since it is smaller than the sum of its proper divisors (1050467040).

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

459742752 is a wasteful number, since it uses less digits than its factorization.

459742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 459742752 is about 21441.6126259197. The cubic root of 459742752 is about 771.8003367426.

The spelling of 459742752 in words is "four hundred fifty-nine million, seven hundred forty-two thousand, seven hundred fifty-two".