230526689400 has 576 divisors, whose sum is σ = 910800633600. Its totient is φ = 51157370880.

The previous prime is 230526689399. The next prime is 230526689401. The reversal of 230526689400 is 4986625032.

230526689400 is a `hidden beast` number, since 2 + 3 + 0 + 526 + 6 + 89 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230526689399) and next prime (230526689401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230526689401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96981012 + ... + 96983388.

It is an arithmetic number, because the mean of its divisors is an integer number (1581251100).

Almost surely, 2^230526689400 is an apocalyptic number.

230526689400 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 230526689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455400316800).

230526689400 is an abundant number, since it is smaller than the sum of its proper divisors (680273944200).

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

230526689400 is a wasteful number, since it uses less digits than its factorization.

230526689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 230526689400 in words is "two hundred thirty billion, five hundred twenty-six million, six hundred eighty-nine thousand, four hundred".