459649152 has 192 divisors, whose sum is σ = 1394315520. Its totient is φ = 145152000.

The previous prime is 459649129. The next prime is 459649171. The reversal of 459649152 is 251946954.

459649152 is a `hidden beast` number, since 4 + 596 + 4 + 9 + 1 + 52 = 666.

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

It is a super-2 number, since 2×459649152² = 422554685868638208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459649098 and 459649107.

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, 2178327 + ... + 2178537.

It is an arithmetic number, because the mean of its divisors is an integer number (7262060).

Almost surely, 2^459649152 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 459649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697157760).

459649152 is an abundant number, since it is smaller than the sum of its proper divisors (934666368).

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

459649152 is a wasteful number, since it uses less digits than its factorization.

459649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 459649152 is about 21439.4298431651. The cubic root of 459649152 is about 771.7479556996.

The spelling of 459649152 in words is "four hundred fifty-nine million, six hundred forty-nine thousand, one hundred fifty-two".