440040400 has 30 divisors (see below), whose sum is σ = 1057198022. Its totient is φ = 176016000.

The previous prime is 440040329. The next prime is 440040407. The reversal of 440040400 is 4040044.

It can be written as a sum of positive squares in 3 ways, for example, as 27625536 + 412414864 = 5256^2 + 20308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440040407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549651 + ... + 550450.

Almost surely, 2^440040400 is an apocalyptic number.

440040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440040400 is an abundant number, since it is smaller than the sum of its proper divisors (617157622).

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

440040400 is a wasteful number, since it uses less digits than its factorization.

440040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100119 (or 1100108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 440040400 is about 20977.1399385140. The cubic root of 440040400 is about 760.6137701185.

Adding to 440040400 its reverse (4040044), we get a palindrome (444080444).

The spelling of 440040400 in words is "four hundred forty million, forty thousand, four hundred".