459025920 has 320 divisors, whose sum is σ = 1694088000. Its totient is φ = 117669888.

The previous prime is 459025909. The next prime is 459025933. The reversal of 459025920 is 29520954.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2004366 + ... + 2004594.

It is an arithmetic number, because the mean of its divisors is an integer number (5294025).

Almost surely, 2^459025920 is an apocalyptic number.

459025920 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 459025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847044000).

459025920 is an abundant number, since it is smaller than the sum of its proper divisors (1235062080).

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

459025920 is a wasteful number, since it uses less digits than its factorization.

459025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 459025920 is about 21424.8901980850. The cubic root of 459025920 is about 771.3989971026.

The spelling of 459025920 in words is "four hundred fifty-nine million, twenty-five thousand, nine hundred twenty".