468827100 has 162 divisors, whose sum is σ = 1709593704. Its totient is φ = 107150400.

The previous prime is 468827089. The next prime is 468827113. The reversal of 468827100 is 1728864.

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 53 ways as a sum of consecutive naturals, for example, 38785 + ... + 49415.

Almost surely, 2^468827100 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 468827100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854796852).

468827100 is an abundant number, since it is smaller than the sum of its proper divisors (1240766604).

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

468827100 is a wasteful number, since it uses less digits than its factorization.

468827100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10665 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 468827100 is about 21652.4155696310. The cubic root of 468827100 is about 776.8507139538.

The spelling of 468827100 in words is "four hundred sixty-eight million, eight hundred twenty-seven thousand, one hundred".