459805920 has 192 divisors, whose sum is σ = 1664603136. Its totient is φ = 104509440.

The previous prime is 459805891. The next prime is 459805921. The reversal of 459805920 is 29508954.

It is a super-2 number, since 2×459805920² = 422842968134092800, 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 not an unprimeable number, because it can be changed into a prime (459805921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943917 + ... + 944403.

It is an arithmetic number, because the mean of its divisors is an integer number (8669808).

Almost surely, 2^459805920 is an apocalyptic number.

459805920 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 459805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832301568).

459805920 is an abundant number, since it is smaller than the sum of its proper divisors (1204797216).

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

459805920 is a wasteful number, since it uses less digits than its factorization.

459805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 459805920 is about 21443.0855988591. The cubic root of 459805920 is about 771.8356832132.

The spelling of 459805920 in words is "four hundred fifty-nine million, eight hundred five thousand, nine hundred twenty".