440054400 has 192 divisors, whose sum is σ = 1513206720. Its totient is φ = 112189440.

The previous prime is 440054399. The next prime is 440054413. The reversal of 440054400 is 4450044.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219804 + ... + 221796.

It is an arithmetic number, because the mean of its divisors is an integer number (7881285).

Almost surely, 2^440054400 is an apocalyptic number.

440054400 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 440054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756603360).

440054400 is an abundant number, since it is smaller than the sum of its proper divisors (1073152320).

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

440054400 is a wasteful number, since it uses less digits than its factorization.

440054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 440054400 is about 20977.4736324468. The cubic root of 440054400 is about 760.6218364081.

The spelling of 440054400 in words is "four hundred forty million, fifty-four thousand, four hundred".