459151628900 has 72 divisors (see below), whose sum is σ = 1041748573824. Its totient is φ = 175325708800.

The previous prime is 459151628869. The next prime is 459151628927. The reversal of 459151628900 is 9826151954.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958460 + ... + 1355340.

It is an arithmetic number, because the mean of its divisors is an integer number (14468730192).

Almost surely, 2^459151628900 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 459151628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520874286912).

459151628900 is an abundant number, since it is smaller than the sum of its proper divisors (582596944924).

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

459151628900 is a wasteful number, since it uses less digits than its factorization.

459151628900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397421 (or 397414 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 459151628900 in words is "four hundred fifty-nine billion, one hundred fifty-one million, six hundred twenty-eight thousand, nine hundred".