459510480 has 240 divisors, whose sum is σ = 1813383936. Its totient is φ = 102804480.

The previous prime is 459510479. The next prime is 459510503. The reversal of 459510480 is 84015954.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×459510480² = 422299762459660800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 100729 + ... + 105191.

Almost surely, 2^459510480 is an apocalyptic number.

459510480 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 459510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906691968).

459510480 is an abundant number, since it is smaller than the sum of its proper divisors (1353873456).

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

459510480 is a wasteful number, since it uses less digits than its factorization.

459510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 459510480 is about 21436.1955579809. The cubic root of 459510480 is about 771.6703380963.

The spelling of 459510480 in words is "four hundred fifty-nine million, five hundred ten thousand, four hundred eighty".