230957400 has 96 divisors (see below), whose sum is σ = 725913360. Its totient is φ = 60733440.

The previous prime is 230957357. The next prime is 230957401. The reversal of 230957400 is 4759032.

It is a super-2 number, since 2×230957400² = 106682641229520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230957401) 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 23 ways as a sum of consecutive naturals, for example, 41164 + ... + 46436.

Almost surely, 2^230957400 is an apocalyptic number.

230957400 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 230957400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362956680).

230957400 is an abundant number, since it is smaller than the sum of its proper divisors (494955960).

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

230957400 is a wasteful number, since it uses less digits than its factorization.

230957400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 230957400 is about 15197.2826518427. The cubic root of 230957400 is about 613.5415237891.

The spelling of 230957400 in words is "two hundred thirty million, nine hundred fifty-seven thousand, four hundred".