230150400 has 108 divisors (see below), whose sum is σ = 759607632. Its totient is φ = 61368320.

The previous prime is 230150387. The next prime is 230150407. The reversal of 230150400 is 4051032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230150400.

It is not an unprimeable number, because it can be changed into a prime (230150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13207 + ... + 25193.

It is an arithmetic number, because the mean of its divisors is an integer number (7033404).

Almost surely, 2^230150400 is an apocalyptic number.

230150400 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 230150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379803816).

230150400 is an abundant number, since it is smaller than the sum of its proper divisors (529457232).

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

230150400 is a wasteful number, since it uses less digits than its factorization.

230150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 230150400 is about 15170.7086189143. The cubic root of 230150400 is about 612.8260876441.

The spelling of 230150400 in words is "two hundred thirty million, one hundred fifty thousand, four hundred".