440672400 has 600 divisors, whose sum is σ = 1897705920. Its totient is φ = 95800320.

The previous prime is 440672399. The next prime is 440672431. The reversal of 440672400 is 4276044.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6577167 + ... + 6577233.

Almost surely, 2^440672400 is an apocalyptic number.

440672400 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 440672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948852960).

440672400 is an abundant number, since it is smaller than the sum of its proper divisors (1457033520).

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

440672400 is a wasteful number, since it uses less digits than its factorization.

440672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 440672400 is about 20992.1985508903. The cubic root of 440672400 is about 760.9777351470.

The spelling of 440672400 in words is "four hundred forty million, six hundred seventy-two thousand, four hundred".