400432240 has 80 divisors (see below), whose sum is σ = 1027184256. Its totient is φ = 144230400.

The previous prime is 400432237. The next prime is 400432283. The reversal of 400432240 is 42234004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37945 + ... + 47335.

Almost surely, 2^400432240 is an apocalyptic number.

400432240 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 400432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513592128).

400432240 is an abundant number, since it is smaller than the sum of its proper divisors (626752016).

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

400432240 is a wasteful number, since it uses less digits than its factorization.

400432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 400432240 is about 20010.8030823353. The cubic root of 400432240 is about 737.0716018184.

Adding to 400432240 its reverse (42234004), we get a palindrome (442666244).

The spelling of 400432240 in words is "four hundred million, four hundred thirty-two thousand, two hundred forty".