993465000 has 400 divisors, whose sum is σ = 3810280320. Its totient is φ = 239760000.

The previous prime is 993464947. The next prime is 993465001. The reversal of 993465000 is 564399.

993465000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (993465001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4454889 + ... + 4455111.

Almost surely, 2^993465000 is an apocalyptic number.

993465000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905140160).

993465000 is an abundant number, since it is smaller than the sum of its proper divisors (2816815320).

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

993465000 is a wasteful number, since it uses less digits than its factorization.

993465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 993465000 is about 31519.2798141074. The cubic root of 993465000 is about 997.8169042277.

The spelling of 993465000 in words is "nine hundred ninety-three million, four hundred sixty-five thousand".