981784440 has 384 divisors, whose sum is σ = 4101027840. Its totient is φ = 197987328.

The previous prime is 981784423. The next prime is 981784481. The reversal of 981784440 is 44487189.

It is a super-2 number, since 2×981784440² = 1927801373252227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752829 + ... + 754131.

It is an arithmetic number, because the mean of its divisors is an integer number (10679760).

Almost surely, 2^981784440 is an apocalyptic number.

981784440 is a gapful number since it is divisible by the number (90) 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 981784440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050513920).

981784440 is an abundant number, since it is smaller than the sum of its proper divisors (3119243400).

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

981784440 is a wasteful number, since it uses less digits than its factorization.

981784440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 981784440 is about 31333.4396452097. The cubic root of 981784440 is about 993.8909015826.

The spelling of 981784440 in words is "nine hundred eighty-one million, seven hundred eighty-four thousand, four hundred forty".