234428040 has 256 divisors, whose sum is σ = 974592000. Its totient is φ = 48695040.

The previous prime is 234428027. The next prime is 234428059. The reversal of 234428040 is 40824432.

It is a happy number.

234428040 is a `hidden beast` number, since 2 + 344 + 280 + 40 = 666.

234428040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 234427995 and 234428013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81751 + ... + 84569.

It is an arithmetic number, because the mean of its divisors is an integer number (3807000).

Almost surely, 2^234428040 is an apocalyptic number.

234428040 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 234428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487296000).

234428040 is an abundant number, since it is smaller than the sum of its proper divisors (740163960).

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

234428040 is a wasteful number, since it uses less digits than its factorization.

234428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 234428040 is about 15311.0430735466. The cubic root of 234428040 is about 616.5995245461.

The spelling of 234428040 in words is "two hundred thirty-four million, four hundred twenty-eight thousand, forty".