440480400 has 120 divisors (see below), whose sum is σ = 1415668320. Its totient is φ = 117073920.

The previous prime is 440480389. The next prime is 440480407. The reversal of 440480400 is 4084044.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (440480407) 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, 711291 + ... + 711909.

It is an arithmetic number, because the mean of its divisors is an integer number (11797236).

Almost surely, 2^440480400 is an apocalyptic number.

440480400 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 440480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707834160).

440480400 is an abundant number, since it is smaller than the sum of its proper divisors (975187920).

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

440480400 is a wasteful number, since it uses less digits than its factorization.

440480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 440480400 is about 20987.6249251791. The cubic root of 440480400 is about 760.8672003144.

The spelling of 440480400 in words is "four hundred forty million, four hundred eighty thousand, four hundred".