234400540 has 48 divisors (see below), whose sum is σ = 538532064. Its totient is φ = 84992000.

The previous prime is 234400519. The next prime is 234400541. The reversal of 234400540 is 45004432.

It is a happy number.

It is a super-2 number, since 2×234400540² = 109887226304583200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234400541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86892 + ... + 89548.

It is an arithmetic number, because the mean of its divisors is an integer number (11219418).

Almost surely, 2^234400540 is an apocalyptic number.

234400540 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 234400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269266032).

234400540 is an abundant number, since it is smaller than the sum of its proper divisors (304131524).

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

234400540 is a wasteful number, since it uses less digits than its factorization.

234400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 234400540 is about 15310.1450025792. The cubic root of 234400540 is about 616.5754131670.

Adding to 234400540 its reverse (45004432), we get a palindrome (279404972).

The spelling of 234400540 in words is "two hundred thirty-four million, four hundred thousand, five hundred forty".