234401040 has 200 divisors, whose sum is σ = 828850968. Its totient is φ = 61378560.

The previous prime is 234401039. The next prime is 234401053. The reversal of 234401040 is 40104432.

234401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 232989696 = 1188^2 + 15264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 394984 + ... + 395576.

Almost surely, 2^234401040 is an apocalyptic number.

234401040 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 234401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414425484).

234401040 is an abundant number, since it is smaller than the sum of its proper divisors (594449928).

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

234401040 is a wasteful number, since it uses less digits than its factorization.

234401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234401040 is about 15310.1613316124. The cubic root of 234401040 is about 616.5758515726.

Adding to 234401040 its reverse (40104432), we get a palindrome (274505472).

The spelling of 234401040 in words is "two hundred thirty-four million, four hundred one thousand, forty".