404694180 has 216 divisors, whose sum is σ = 1429993656. Its totient is φ = 92252160.

The previous prime is 404694179. The next prime is 404694187. The reversal of 404694180 is 81496404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208918116 + 195776064 = 14454^2 + 13992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404694187) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 369714 + ... + 370806.

It is an arithmetic number, because the mean of its divisors is an integer number (6620341).

Almost surely, 2^404694180 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 404694180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714996828).

404694180 is an abundant number, since it is smaller than the sum of its proper divisors (1025299476).

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

404694180 is a wasteful number, since it uses less digits than its factorization.

404694180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 404694180 is about 20117.0122036052. The cubic root of 404694180 is about 739.6773489916.

The spelling of 404694180 in words is "four hundred four million, six hundred ninety-four thousand, one hundred eighty".