401184100 has 36 divisors (see below), whose sum is σ = 875818944. Its totient is φ = 159506080.

The previous prime is 401184089. The next prime is 401184103. The reversal of 401184100 is 1481104.

It is not an unprimeable number, because it can be changed into a prime (401184103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4689 + ... + 28711.

It is an arithmetic number, because the mean of its divisors is an integer number (24328304).

Almost surely, 2^401184100 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 401184100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437909472).

401184100 is an abundant number, since it is smaller than the sum of its proper divisors (474634844).

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

401184100 is a wasteful number, since it uses less digits than its factorization.

401184100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24204 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 401184100 is about 20029.5806246661. The cubic root of 401184100 is about 737.5326271116.

The spelling of 401184100 in words is "four hundred one million, one hundred eighty-four thousand, one hundred".