406641252600 has 288 divisors, whose sum is σ = 1507740998400. Its totient is φ = 97391596800.

The previous prime is 406641252599. The next prime is 406641252637. The reversal of 406641252600 is 6252146604.

406641252600 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 41 + 2 + 5 + 2 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1519681 + ... + 1767119.

It is an arithmetic number, because the mean of its divisors is an integer number (5235211800).

Almost surely, 2^406641252600 is an apocalyptic number.

406641252600 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 406641252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753870499200).

406641252600 is an abundant number, since it is smaller than the sum of its proper divisors (1101099745800).

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

406641252600 is a wasteful number, since it uses less digits than its factorization.

406641252600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247555 (or 247543 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406641252600 in words is "four hundred six billion, six hundred forty-one million, two hundred fifty-two thousand, six hundred".