440981400 has 96 divisors (see below), whose sum is σ = 1381317840. Its totient is φ = 116367360.

The previous prime is 440981371. The next prime is 440981447. The reversal of 440981400 is 4189044.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 54412 + ... + 61988.

Almost surely, 2^440981400 is an apocalyptic number.

440981400 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 440981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690658920).

440981400 is an abundant number, since it is smaller than the sum of its proper divisors (940336440).

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

440981400 is a wasteful number, since it uses less digits than its factorization.

440981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 440981400 is about 20999.5571381875. The cubic root of 440981400 is about 761.1555597479.

The spelling of 440981400 in words is "four hundred forty million, nine hundred eighty-one thousand, four hundred".