404013000 has 128 divisors (see below), whose sum is σ = 1271013120. Its totient is φ = 106841600.

The previous prime is 404012989. The next prime is 404013019. The reversal of 404013000 is 310404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410509 + ... + 411491.

It is an arithmetic number, because the mean of its divisors is an integer number (9929790).

Almost surely, 2^404013000 is an apocalyptic number.

404013000 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 404013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635506560).

404013000 is an abundant number, since it is smaller than the sum of its proper divisors (867000120).

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

404013000 is a wasteful number, since it uses less digits than its factorization.

404013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 404013000 is about 20100.0746267271. The cubic root of 404013000 is about 739.2621083803.

Adding to 404013000 its reverse (310404), we get a palindrome (404323404).

The spelling of 404013000 in words is "four hundred four million, thirteen thousand".