234264400 has 60 divisors (see below), whose sum is σ = 572106364. Its totient is φ = 92160000.

The previous prime is 234264389. The next prime is 234264419. The reversal of 234264400 is 4462432.

It can be written as a sum of positive squares in 6 ways, for example, as 20286016 + 213978384 = 4504^2 + 14628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19600 + ... + 29200.

Almost surely, 2^234264400 is an apocalyptic number.

234264400 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 234264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286053182).

234264400 is an abundant number, since it is smaller than the sum of its proper divisors (337841964).

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

234264400 is a wasteful number, since it uses less digits than its factorization.

234264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 234264400 is about 15305.6982852792. The cubic root of 234264400 is about 616.4560209038.

The spelling of 234264400 in words is "two hundred thirty-four million, two hundred sixty-four thousand, four hundred".