459390960 has 320 divisors, whose sum is σ = 1888450560. Its totient is φ = 100362240.

The previous prime is 459390929. The next prime is 459390961. The reversal of 459390960 is 69093954.

It is a happy number.

It is a super-2 number, since 2×459390960² = 422080108259443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459390961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347100 + ... + 348420.

It is an arithmetic number, because the mean of its divisors is an integer number (5901408).

Almost surely, 2^459390960 is an apocalyptic number.

459390960 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 459390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944225280).

459390960 is an abundant number, since it is smaller than the sum of its proper divisors (1429059600).

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

459390960 is a wasteful number, since it uses less digits than its factorization.

459390960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 459390960 is about 21433.4075685599. The cubic root of 459390960 is about 771.6034277352.

The spelling of 459390960 in words is "four hundred fifty-nine million, three hundred ninety thousand, nine hundred sixty".