993052480 has 112 divisors (see below), whose sum is σ = 2844881280. Its totient is φ = 322541568.

The previous prime is 993052471. The next prime is 993052483. The reversal of 993052480 is 84250399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993052483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30894 + ... + 54226.

Almost surely, 2^993052480 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 993052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422440640).

993052480 is an abundant number, since it is smaller than the sum of its proper divisors (1851828800).

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

993052480 is a wasteful number, since it uses less digits than its factorization.

993052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23376 (or 23366 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 993052480 is about 31512.7352034063. The cubic root of 993052480 is about 997.6787760885.

The spelling of 993052480 in words is "nine hundred ninety-three million, fifty-two thousand, four hundred eighty".