400137400 has 96 divisors (see below), whose sum is σ = 1017278640. Its totient is φ = 145474560.

The previous prime is 400137377. The next prime is 400137431. The reversal of 400137400 is 4731004.

It is a happy number.

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, 173052 + ... + 175348.

Almost surely, 2^400137400 is an apocalyptic number.

400137400 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 400137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508639320).

400137400 is an abundant number, since it is smaller than the sum of its proper divisors (617141240).

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

400137400 is a wasteful number, since it uses less digits than its factorization.

400137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 400137400 is about 20003.4347050700. The cubic root of 400137400 is about 736.8906543915.

Adding to 400137400 its reverse (4731004), we get a palindrome (404868404).

The spelling of 400137400 in words is "four hundred million, one hundred thirty-seven thousand, four hundred".