400334400 has 210 divisors, whose sum is σ = 1472004930. Its totient is φ = 106721280.

The previous prime is 400334393. The next prime is 400334449. The reversal of 400334400 is 4433004.

It can be written as a sum of positive squares in 3 ways, for example, as 91699776 + 308634624 = 9576^2 + 17568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128056 + ... + 131144.

Almost surely, 2^400334400 is an apocalyptic number.

400334400 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 400334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736002465).

400334400 is an abundant number, since it is smaller than the sum of its proper divisors (1071670530).

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

400334400 is a wasteful number, since it uses less digits than its factorization.

400334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400334400 is about 20008.3582534900. The cubic root of 400334400 is about 737.0115658934.

Adding to 400334400 its reverse (4433004), we get a palindrome (404767404).

The spelling of 400334400 in words is "four hundred million, three hundred thirty-four thousand, four hundred".