40430400 has 84 divisors (see below), whose sum is σ = 132661152. Its totient is φ = 10780160.

The previous prime is 40430371. The next prime is 40430419. The reversal of 40430400 is 403404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40430400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 9011.

Almost surely, 2^40430400 is an apocalyptic number.

40430400 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 40430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330576).

40430400 is an abundant number, since it is smaller than the sum of its proper divisors (92230752).

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

40430400 is a wasteful number, since it uses less digits than its factorization.

40430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40430400 is about 6358.4903868764. The cubic root of 40430400 is about 343.2174387062.

Adding to 40430400 its reverse (403404), we get a palindrome (40833804).

The spelling of 40430400 in words is "forty million, four hundred thirty thousand, four hundred".