400431642 has 48 divisors (see below), whose sum is σ = 883687968. Its totient is φ = 120868800.

The previous prime is 400431607. The next prime is 400431667. The reversal of 400431642 is 246134004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50017 + ... + 57467.

It is an arithmetic number, because the mean of its divisors is an integer number (18410166).

Almost surely, 2^400431642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400431642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441843984).

400431642 is an abundant number, since it is smaller than the sum of its proper divisors (483256326).

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

400431642 is a wasteful number, since it uses less digits than its factorization.

400431642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 400431642 is about 20010.7881404007. The cubic root of 400431642 is about 737.0712349073.

Adding to 400431642 its reverse (246134004), we get a palindrome (646565646).

The spelling of 400431642 in words is "four hundred million, four hundred thirty-one thousand, six hundred forty-two".