230893977600 has 1536 divisors, whose sum is σ = 1010266588800. Its totient is φ = 50960793600.

The previous prime is 230893977551. The next prime is 230893977607. The reversal of 230893977600 is 6779398032.

230893977600 is a `hidden beast` number, since 23 + 0 + 8 + 9 + 3 + 9 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230893977607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3162931164 + ... + 3162931236.

Almost surely, 2^230893977600 is an apocalyptic number.

230893977600 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 230893977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505133294400).

230893977600 is an abundant number, since it is smaller than the sum of its proper divisors (779372611200).

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

230893977600 is a wasteful number, since it uses less digits than its factorization.

230893977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 230893977600 in words is "two hundred thirty billion, eight hundred ninety-three million, nine hundred seventy-seven thousand, six hundred".