459793920 has 320 divisors, whose sum is σ = 1626324480. Its totient is φ = 110297088.

The previous prime is 459793913. The next prime is 459793963. The reversal of 459793920 is 29397954.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×459793920² = 422820897737932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 459793920.

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, 3356092 + ... + 3356228.

It is an arithmetic number, because the mean of its divisors is an integer number (5082264).

Almost surely, 2^459793920 is an apocalyptic number.

459793920 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 459793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813162240).

459793920 is an abundant number, since it is smaller than the sum of its proper divisors (1166530560).

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

459793920 is a wasteful number, since it uses less digits than its factorization.

459793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 459793920 is about 21442.8057865569. The cubic root of 459793920 is about 771.8289687072.

The spelling of 459793920 in words is "four hundred fifty-nine million, seven hundred ninety-three thousand, nine hundred twenty".