400104012 has 96 divisors (see below), whose sum is σ = 1187827200. Its totient is φ = 103911360.

The previous prime is 400103983. The next prime is 400104013. The reversal of 400104012 is 210401004.

It is a super-2 number, since 2×400104012² = 320166440836992288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400104013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40858 + ... + 49694.

It is an arithmetic number, because the mean of its divisors is an integer number (12373200).

Almost surely, 2^400104012 is an apocalyptic number.

400104012 is a gapful number since it is divisible by the number (42) 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 400104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593913600).

400104012 is an abundant number, since it is smaller than the sum of its proper divisors (787723188).

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

400104012 is a wasteful number, since it uses less digits than its factorization.

400104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400104012 is about 20002.6001309830. The cubic root of 400104012 is about 736.8701581074.

Adding to 400104012 its reverse (210401004), we get a palindrome (610505016).

The spelling of 400104012 in words is "four hundred million, one hundred four thousand, twelve".