123434440 has 64 divisors (see below), whose sum is σ = 290530800. Its totient is φ = 47136768.

The previous prime is 123434429. The next prime is 123434449. The reversal of 123434440 is 44434321.

It can be written as a sum of positive squares in 8 ways, for example, as 38167684 + 85266756 = 6178^2 + 9234^2 .

It is a super-2 number, since 2×123434440² = 30472121956227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123434449) 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, 111972 + ... + 113068.

Almost surely, 2^123434440 is an apocalyptic number.

123434440 is a gapful number since it is divisible by the number (10) 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 123434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145265400).

123434440 is an abundant number, since it is smaller than the sum of its proper divisors (167096360).

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

123434440 is a wasteful number, since it uses less digits than its factorization.

123434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 123434440 is about 11110.1053100319. The cubic root of 123434440 is about 497.9038109303.

Adding to 123434440 its reverse (44434321), we get a palindrome (167868761).

The spelling of 123434440 in words is "one hundred twenty-three million, four hundred thirty-four thousand, four hundred forty".