234770400 has 180 divisors, whose sum is σ = 856398312. Its totient is φ = 62588160.

The previous prime is 234770363. The next prime is 234770423. The reversal of 234770400 is 4077432.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62989 + ... + 66611.

Almost surely, 2^234770400 is an apocalyptic number.

234770400 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 234770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428199156).

234770400 is an abundant number, since it is smaller than the sum of its proper divisors (621627912).

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

234770400 is a wasteful number, since it uses less digits than its factorization.

234770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 234770400 is about 15322.2191604219. The cubic root of 234770400 is about 616.8995403251.

The spelling of 234770400 in words is "two hundred thirty-four million, seven hundred seventy thousand, four hundred".