993418272 has 144 divisors (see below), whose sum is σ = 3522197952. Its totient is φ = 258024960.

The previous prime is 993418253. The next prime is 993418289. The reversal of 993418272 is 272814399.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223 + ... + 44574.

It is an arithmetic number, because the mean of its divisors is an integer number (24459708).

Almost surely, 2^993418272 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 993418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761098976).

993418272 is an abundant number, since it is smaller than the sum of its proper divisors (2528779680).

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

993418272 is a wasteful number, since it uses less digits than its factorization.

993418272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44831 (or 44820 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 993418272 is about 31518.5385447993. The cubic root of 993418272 is about 997.8012597512.

The spelling of 993418272 in words is "nine hundred ninety-three million, four hundred eighteen thousand, two hundred seventy-two".