230049698400 has 576 divisors, whose sum is σ = 919291161600. Its totient is φ = 55225589760.

The previous prime is 230049698309. The next prime is 230049698419. The reversal of 230049698400 is 4896940032.

230049698400 is a `hidden beast` number, since 2 + 30 + 0 + 496 + 98 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8431981 + ... + 8459219.

It is an arithmetic number, because the mean of its divisors is an integer number (1595991600).

Almost surely, 2^230049698400 is an apocalyptic number.

230049698400 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 230049698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459645580800).

230049698400 is an abundant number, since it is smaller than the sum of its proper divisors (689241463200).

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

230049698400 is a wasteful number, since it uses less digits than its factorization.

230049698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27308 (or 27289 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 230049698400 in words is "two hundred thirty billion, forty-nine million, six hundred ninety-eight thousand, four hundred".