400435742 has 48 divisors (see below), whose sum is σ = 729855360. Its totient is φ = 164102400.

The previous prime is 400435729. The next prime is 400435759. The reversal of 400435742 is 247534004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269642 + ... + 271122.

It is an arithmetic number, because the mean of its divisors is an integer number (15205320).

Almost surely, 2^400435742 is an apocalyptic number.

400435742 is a deficient number, since it is larger than the sum of its proper divisors (329419618).

400435742 is a wasteful number, since it uses less digits than its factorization.

400435742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 400435742 is about 20010.8905848790. The cubic root of 400435742 is about 737.0737505108.

Adding to 400435742 its reverse (247534004), we get a palindrome (647969746).

The spelling of 400435742 in words is "four hundred million, four hundred thirty-five thousand, seven hundred forty-two".