230902400 has 96 divisors (see below), whose sum is σ = 580543200. Its totient is φ = 90721280.

The previous prime is 230902391. The next prime is 230902409. The reversal of 230902400 is 4209032.

230902400 = 118² + 119² + ... + 885².

It is an interprime number because it is at equal distance from previous prime (230902391) and next prime (230902409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230902409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188189 + ... + 189411.

It is an arithmetic number, because the mean of its divisors is an integer number (6047325).

Almost surely, 2^230902400 is an apocalyptic number.

230902400 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 230902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290271600).

230902400 is an abundant number, since it is smaller than the sum of its proper divisors (349640800).

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

230902400 is a wasteful number, since it uses less digits than its factorization.

230902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230902400 is about 15195.4730100777. The cubic root of 230902400 is about 613.4928171693.

The spelling of 230902400 in words is "two hundred thirty million, nine hundred two thousand, four hundred".