459616920 has 128 divisors (see below), whose sum is σ = 1585059840. Its totient is φ = 104440320.

The previous prime is 459616909. The next prime is 459616933. The reversal of 459616920 is 29616954.

It is a happy number.

It is a super-2 number, since 2×459616920² = 422495426300572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150529 + ... + 153551.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^459616920 is an apocalyptic number.

459616920 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 459616920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

459616920 is an abundant number, since it is smaller than the sum of its proper divisors (1125442920).

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

459616920 is a wasteful number, since it uses less digits than its factorization.

459616920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 459616920 is about 21438.6781308923. The cubic root of 459616920 is about 771.7299161714.

The spelling of 459616920 in words is "four hundred fifty-nine million, six hundred sixteen thousand, nine hundred twenty".