230720400 has 150 divisors (see below), whose sum is σ = 828153282. Its totient is φ = 61516800.

The previous prime is 230720387. The next prime is 230720423. The reversal of 230720400 is 4027032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 229704336 = 1008^2 + 15156^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28840 + ... + 35960.

Almost surely, 2^230720400 is an apocalyptic number.

230720400 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 230720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414076641).

230720400 is an abundant number, since it is smaller than the sum of its proper divisors (597432882).

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

230720400 is a wasteful number, since it uses less digits than its factorization.

230720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230720400 is about 15189.4832038486. The cubic root of 230720400 is about 613.3315873716.

Adding to 230720400 its reverse (4027032), we get a palindrome (234747432).

The spelling of 230720400 in words is "two hundred thirty million, seven hundred twenty thousand, four hundred".