916993440 has 384 divisors, whose sum is σ = 3657830400. Its totient is φ = 212382720.

The previous prime is 916993411. The next prime is 916993487. The reversal of 916993440 is 44399619.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092541 + ... + 1093379.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^916993440 is an apocalyptic number.

916993440 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 916993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

916993440 is an abundant number, since it is smaller than the sum of its proper divisors (2740836960).

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

916993440 is a wasteful number, since it uses less digits than its factorization.

916993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 916993440 is about 30281.8995441171. The cubic root of 916993440 is about 971.5281965712.

The spelling of 916993440 in words is "nine hundred sixteen million, nine hundred ninety-three thousand, four hundred forty".