414431040 has 112 divisors (see below), whose sum is σ = 1385133120. Its totient is φ = 104693760.

The previous prime is 414431027. The next prime is 414431063. The reversal of 414431040 is 40134414.

It is a junction number, because it is equal to n+sod(n) for n = 414430998 and 414431016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6880 + ... + 29600.

It is an arithmetic number, because the mean of its divisors is an integer number (12367260).

Almost surely, 2^414431040 is an apocalyptic number.

414431040 is a gapful number since it is divisible by the number (40) 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 414431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692566560).

414431040 is an abundant number, since it is smaller than the sum of its proper divisors (970702080).

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

414431040 is a wasteful number, since it uses less digits than its factorization.

414431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22760 (or 22750 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414431040 is about 20357.5794238903. The cubic root of 414431040 is about 745.5625617457.

Adding to 414431040 its reverse (40134414), we get a palindrome (454565454).

The spelling of 414431040 in words is "four hundred fourteen million, four hundred thirty-one thousand, forty".