993464397 has 24 divisors (see below), whose sum is σ = 1499829240. Its totient is φ = 632862720.

The previous prime is 993464371. The next prime is 993464413. The reversal of 993464397 is 793464399.

993464397 is a `hidden beast` number, since 9 + 93 + 464 + 3 + 97 = 666.

993464397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57471561 + 935992836 = 7581^2 + 30594^2 .

It is not a de Polignac number, because 993464397 - 2²⁶ = 926355533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993464357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697 + ... + 44937.

It is an arithmetic number, because the mean of its divisors is an integer number (62492885).

Almost surely, 2^993464397 is an apocalyptic number.

993464397 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

993464397 is a deficient number, since it is larger than the sum of its proper divisors (506364843).

993464397 is a wasteful number, since it uses less digits than its factorization.

993464397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39373 (or 39370 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 993464397 is about 31519.2702485321. The cubic root of 993464397 is about 997.8167023471.

The spelling of 993464397 in words is "nine hundred ninety-three million, four hundred sixty-four thousand, three hundred ninety-seven".