230157656400 has 240 divisors, whose sum is σ = 865370259584. Its totient is φ = 51185571840.

The previous prime is 230157656383. The next prime is 230157656459. The reversal of 230157656400 is 4656751032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59467 + ... + 681066.

Almost surely, 2^230157656400 is an apocalyptic number.

230157656400 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 230157656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432685129792).

230157656400 is an abundant number, since it is smaller than the sum of its proper divisors (635212603184).

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

230157656400 is a wasteful number, since it uses less digits than its factorization.

230157656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740598 (or 740587 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 230157656400 in words is "two hundred thirty billion, one hundred fifty-seven million, six hundred fifty-six thousand, four hundred".