400131006 has 64 divisors (see below), whose sum is σ = 934986240. Its totient is φ = 112808960.

The previous prime is 400130963. The next prime is 400131019. The reversal of 400131006 is 600131004.

It is a congruent number.

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, 97855 + ... + 101861.

It is an arithmetic number, because the mean of its divisors is an integer number (14609160).

Almost surely, 2^400131006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400131006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467493120).

400131006 is an abundant number, since it is smaller than the sum of its proper divisors (534855234).

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

400131006 is a wasteful number, since it uses less digits than its factorization.

400131006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 400131006 is about 20003.2748818787. The cubic root of 400131006 is about 736.8867293198.

The spelling of 400131006 in words is "four hundred million, one hundred thirty-one thousand, six".