400531400 has 96 divisors (see below), whose sum is σ = 990264000. Its totient is φ = 150232320.

The previous prime is 400531367. The next prime is 400531403. The reversal of 400531400 is 4135004.

It is not an unprimeable number, because it can be changed into a prime (400531403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413717 + ... + 414683.

It is an arithmetic number, because the mean of its divisors is an integer number (10315250).

Almost surely, 2^400531400 is an apocalyptic number.

400531400 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 400531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495132000).

400531400 is an abundant number, since it is smaller than the sum of its proper divisors (589732600).

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

400531400 is a wasteful number, since it uses less digits than its factorization.

400531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 400531400 is about 20013.2805906478. The cubic root of 400531400 is about 737.1324377356.

Adding to 400531400 its reverse (4135004), we get a palindrome (404666404).

The spelling of 400531400 in words is "four hundred million, five hundred thirty-one thousand, four hundred".