234746400 has 288 divisors, whose sum is σ = 888693120. Its totient is φ = 52715520.

The previous prime is 234746399. The next prime is 234746401. The reversal of 234746400 is 4647432.

It is an interprime number because it is at equal distance from previous prime (234746399) and next prime (234746401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234746401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495122 + ... + 1495278.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2^234746400 is an apocalyptic number.

234746400 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 234746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444346560).

234746400 is an abundant number, since it is smaller than the sum of its proper divisors (653946720).

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

234746400 is a wasteful number, since it uses less digits than its factorization.

234746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 234746400 is about 15321.4359640342. The cubic root of 234746400 is about 616.8785182350.

The spelling of 234746400 in words is "two hundred thirty-four million, seven hundred forty-six thousand, four hundred".