234819144 has 192 divisors, whose sum is σ = 776355840. Its totient is φ = 62663040.

The previous prime is 234819139. The next prime is 234819161. The reversal of 234819144 is 441918432.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234819099 and 234819108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544609 + ... + 545039.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 2^234819144 is an apocalyptic number.

234819144 is a gapful number since it is divisible by the number (24) 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 234819144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920).

234819144 is an abundant number, since it is smaller than the sum of its proper divisors (541536696).

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

234819144 is a wasteful number, since it uses less digits than its factorization.

234819144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 234819144 is about 15323.8097090769. The cubic root of 234819144 is about 616.9422317807.

The spelling of 234819144 in words is "two hundred thirty-four million, eight hundred nineteen thousand, one hundred forty-four".