996930480 has 240 divisors, whose sum is σ = 3872189664. Its totient is φ = 210309120.

The previous prime is 996930463. The next prime is 996930491. The reversal of 996930480 is 84039699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149620 + ... + 156140.

Almost surely, 2^996930480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936094832).

996930480 is an abundant number, since it is smaller than the sum of its proper divisors (2875259184).

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

996930480 is a wasteful number, since it uses less digits than its factorization.

996930480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 996930480 is about 31574.2059282573. The cubic root of 996930480 is about 998.9757779941.

The spelling of 996930480 in words is "nine hundred ninety-six million, nine hundred thirty thousand, four hundred eighty".