993480 has 64 divisors (see below), whose sum is σ = 3162240. Its totient is φ = 248832.

The previous prime is 993479. The next prime is 993481. The reversal of 993480 is 84399.

It is an interprime number because it is at equal distance from previous prime (993479) and next prime (993481).

It is not an unprimeable number, because it can be changed into a prime (993481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (49410).

2⁹⁹³⁴⁸⁰ 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 993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581120).

993480 is an abundant number, since it is smaller than the sum of its proper divisors (2168760).

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

993480 is a wasteful number, since it uses less digits than its factorization.

993480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 993480 is about 996.7346688061. The cubic root of 993480 is about 99.7821926105.

The spelling of 993480 in words is "nine hundred ninety-three thousand, four hundred eighty".