231414400 has 96 divisors (see below), whose sum is σ = 653395680. Its totient is φ = 79334400.

The previous prime is 231414397. The next prime is 231414409. The reversal of 231414400 is 4414132.

It is not an unprimeable number, because it can be changed into a prime (231414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17235 + ... + 27565.

It is an arithmetic number, because the mean of its divisors is an integer number (6806205).

Almost surely, 2^231414400 is an apocalyptic number.

231414400 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 231414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326697840).

231414400 is an abundant number, since it is smaller than the sum of its proper divisors (421981280).

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

231414400 is a wasteful number, since it uses less digits than its factorization.

231414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 231414400 is about 15212.3108040823. The cubic root of 231414400 is about 613.9459327734.

Adding to 231414400 its reverse (4414132), we get a palindrome (235828532).

The spelling of 231414400 in words is "two hundred thirty-one million, four hundred fourteen thousand, four hundred".