233478400 has 81 divisors (see below), whose sum is σ = 580936993. Its totient is φ = 92902400.

The previous prime is 233478389. The next prime is 233478431. The reversal of 233478400 is 4874332.

It is a happy number.

The square root of 233478400 is 15280.

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

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 149426176 = 9168^2 + 12224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1222305 + ... + 1222495.

Almost surely, 2^233478400 is an apocalyptic number.

233478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233478400 is the 15280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233478400

233478400 is an abundant number, since it is smaller than the sum of its proper divisors (347458593).

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

233478400 is an frugal number, since it uses more digits than its factorization.

233478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The cubic root of 233478400 is about 615.7658074165.

The spelling of 233478400 in words is "two hundred thirty-three million, four hundred seventy-eight thousand, four hundred".