993401472 has 256 divisors, whose sum is σ = 3243110400. Its totient is φ = 263098368.

The previous prime is 993401471. The next prime is 993401473. The reversal of 993401472 is 274104399.

It is an interprime number because it is at equal distance from previous prime (993401471) and next prime (993401473).

It is a self number, because there is not a number n which added to its sum of digits gives 993401472.

It is not an unprimeable number, because it can be changed into a prime (993401471) 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 31 ways as a sum of consecutive naturals, for example, 2706633 + ... + 2706999.

It is an arithmetic number, because the mean of its divisors is an integer number (12668400).

Almost surely, 2^993401472 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 993401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621555200).

993401472 is an abundant number, since it is smaller than the sum of its proper divisors (2249708928).

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

993401472 is a wasteful number, since it uses less digits than its factorization.

993401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 993401472 is about 31518.2720338536. The cubic root of 993401472 is about 997.7956350122.

The spelling of 993401472 in words is "nine hundred ninety-three million, four hundred one thousand, four hundred seventy-two".