234260400 has 120 divisors (see below), whose sum is σ = 818679744. Its totient is φ = 56787200.

The previous prime is 234260399. The next prime is 234260401. The reversal of 234260400 is 4062432.

It is an interprime number because it is at equal distance from previous prime (234260399) and next prime (234260401).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (234260401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4327 + ... + 22073.

Almost surely, 2^234260400 is an apocalyptic number.

234260400 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 234260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409339872).

234260400 is an abundant number, since it is smaller than the sum of its proper divisors (584419344).

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

234260400 is a wasteful number, since it uses less digits than its factorization.

234260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 234260400 is about 15305.5676144336. The cubic root of 234260400 is about 616.4525122783.

The spelling of 234260400 in words is "two hundred thirty-four million, two hundred sixty thousand, four hundred".