400430240 has 96 divisors (see below), whose sum is σ = 1144813824. Its totient is φ = 129208320.

The previous prime is 400430237. The next prime is 400430267. The reversal of 400430240 is 42034004.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 8525 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (11925144).

Almost surely, 2^400430240 is an apocalyptic number.

400430240 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 400430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572406912).

400430240 is an abundant number, since it is smaller than the sum of its proper divisors (744383584).

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

400430240 is a wasteful number, since it uses less digits than its factorization.

400430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21070 (or 21062 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 400430240 is about 20010.7531092660. The cubic root of 400430240 is about 737.0703746897.

Adding to 400430240 its reverse (42034004), we get a palindrome (442464244).

The spelling of 400430240 in words is "four hundred million, four hundred thirty thousand, two hundred forty".