230964249600 has 792 divisors, whose sum is σ = 958885020288. Its totient is φ = 52022476800.

The previous prime is 230964249557. The next prime is 230964249611. The reversal of 230964249600 is 6942469032.

230964249600 is a `hidden beast` number, since 2 + 30 + 9 + 6 + 4 + 2 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×230964249600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114507792 + ... + 114509808.

Almost surely, 2^230964249600 is an apocalyptic number.

230964249600 is a gapful number since it is divisible by the number (20) 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 230964249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479442510144).

230964249600 is an abundant number, since it is smaller than the sum of its proper divisors (727920770688).

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

230964249600 is a wasteful number, since it uses less digits than its factorization.

230964249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 230964249600 in words is "two hundred thirty billion, nine hundred sixty-four million, two hundred forty-nine thousand, six hundred".