400440432 has 80 divisors (see below), whose sum is σ = 1189939712. Its totient is φ = 113667840.

The previous prime is 400440427. The next prime is 400440461. The reversal of 400440432 is 234044004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 400440399 and 400440408.

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 15 ways as a sum of consecutive naturals, for example, 48957 + ... + 56547.

Almost surely, 2^400440432 is an apocalyptic number.

400440432 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 400440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594969856).

400440432 is an abundant number, since it is smaller than the sum of its proper divisors (789499280).

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

400440432 is a wasteful number, since it uses less digits than its factorization.

400440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 400440432 is about 20011.0077707246. The cubic root of 400440432 is about 737.0766280948.

Adding to 400440432 its reverse (234044004), we get a palindrome (634484436).

The spelling of 400440432 in words is "four hundred million, four hundred forty thousand, four hundred thirty-two".