996409440 has 576 divisors, whose sum is σ = 4041902592. Its totient is φ = 221184000.

The previous prime is 996409417. The next prime is 996409489. The reversal of 996409440 is 44904699.

It is a super-2 number, since 2×996409440² = 1985663544242227200, 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, 9865390 + ... + 9865490.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^996409440 is an apocalyptic number.

996409440 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 996409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020951296).

996409440 is an abundant number, since it is smaller than the sum of its proper divisors (3045493152).

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

996409440 is a wasteful number, since it uses less digits than its factorization.

996409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 996409440 is about 31565.9538110287. The cubic root of 996409440 is about 998.8017113445.

The spelling of 996409440 in words is "nine hundred ninety-six million, four hundred nine thousand, four hundred forty".