400413240 has 256 divisors, whose sum is σ = 1433116800. Its totient is φ = 99090432.

The previous prime is 400413229. The next prime is 400413241. The reversal of 400413240 is 42314004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400413241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2074584 + ... + 2074776.

Almost surely, 2^400413240 is an apocalyptic number.

400413240 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 400413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716558400).

400413240 is an abundant number, since it is smaller than the sum of its proper divisors (1032703560).

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

400413240 is a wasteful number, since it uses less digits than its factorization.

400413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400413240 is about 20010.3283331384. The cubic root of 400413240 is about 737.0599439309.

Adding to 400413240 its reverse (42314004), we get a palindrome (442727244).

The spelling of 400413240 in words is "four hundred million, four hundred thirteen thousand, two hundred forty".