440901120 has 320 divisors, whose sum is σ = 1633395456. Its totient is φ = 100270080.

The previous prime is 440901113. The next prime is 440901121. The reversal of 440901120 is 21109044.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440901121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436007 + ... + 1436313.

Almost surely, 2^440901120 is an apocalyptic number.

440901120 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 440901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816697728).

440901120 is an abundant number, since it is smaller than the sum of its proper divisors (1192494336).

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

440901120 is a wasteful number, since it uses less digits than its factorization.

440901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 440901120 is about 20997.6455823028. The cubic root of 440901120 is about 761.1093678701.

The spelling of 440901120 in words is "four hundred forty million, nine hundred one thousand, one hundred twenty".