231648400 has 45 divisors (see below), whose sum is σ = 557267563. Its totient is φ = 92537600.

The previous prime is 231648371. The next prime is 231648407. The reversal of 231648400 is 4846132.

The square root of 231648400 is 15220.

It is a perfect power (a square), and thus also a powerful number.

231648400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 136702864 + 94945536 = 11692^2 + 9744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231648407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304020 + ... + 304780.

Almost surely, 2^231648400 is an apocalyptic number.

231648400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231648400 is the 15220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231648400

231648400 is an abundant number, since it is smaller than the sum of its proper divisors (325619163).

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

231648400 is an frugal number, since it uses more digits than its factorization.

231648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 231648400 is about 614.1527982531.

The spelling of 231648400 in words is "two hundred thirty-one million, six hundred forty-eight thousand, four hundred".