440231400 has 144 divisors (see below), whose sum is σ = 1689698400. Its totient is φ = 100621440.

The previous prime is 440231399. The next prime is 440231401. The reversal of 440231400 is 4132044.

It is an interprime number because it is at equal distance from previous prime (440231399) and next prime (440231401).

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

It is not an unprimeable number, because it can be changed into a prime (440231401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4870 + ... + 30069.

Almost surely, 2^440231400 is an apocalyptic number.

440231400 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 440231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844849200).

440231400 is an abundant number, since it is smaller than the sum of its proper divisors (1249467000).

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

440231400 is a wasteful number, since it uses less digits than its factorization.

440231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34968 (or 34956 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440231400 is about 20981.6920194726. The cubic root of 440231400 is about 760.7238026034.

Adding to 440231400 its reverse (4132044), we get a palindrome (444363444).

The spelling of 440231400 in words is "four hundred forty million, two hundred thirty-one thousand, four hundred".