414433040 has 40 divisors (see below), whose sum is σ = 1101209280. Its totient is φ = 142091136.

The previous prime is 414433013. The next prime is 414433049. The reversal of 414433040 is 40334414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 414432997 and 414433015.

It is not an unprimeable number, because it can be changed into a prime (414433049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369470 + ... + 370589.

It is an arithmetic number, because the mean of its divisors is an integer number (27530232).

Almost surely, 2^414433040 is an apocalyptic number.

414433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414433040 is an abundant number, since it is smaller than the sum of its proper divisors (686776240).

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

414433040 is a wasteful number, since it uses less digits than its factorization.

414433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740079 (or 740073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 414433040 is about 20357.6285455846. The cubic root of 414433040 is about 745.5637610789.

Adding to 414433040 its reverse (40334414), we get a palindrome (454767454).

The spelling of 414433040 in words is "four hundred fourteen million, four hundred thirty-three thousand, forty".