459802980 has 240 divisors, whose sum is σ = 1775854080. Its totient is φ = 96982272.

The previous prime is 459802969. The next prime is 459802991. The reversal of 459802980 is 89208954.

It is an interprime number because it is at equal distance from previous prime (459802969) and next prime (459802991).

It is a super-2 number, since 2×459802980² = 422837560833760800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145861 + ... + 148979.

It is an arithmetic number, because the mean of its divisors is an integer number (7399392).

Almost surely, 2^459802980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459802980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887927040).

459802980 is an abundant number, since it is smaller than the sum of its proper divisors (1316051100).

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

459802980 is a wasteful number, since it uses less digits than its factorization.

459802980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 459802980 is about 21443.0170451828. The cubic root of 459802980 is about 771.8340381701.

The spelling of 459802980 in words is "four hundred fifty-nine million, eight hundred two thousand, nine hundred eighty".