414315440 has 160 divisors (see below), whose sum is σ = 1214493696. Its totient is φ = 127687680.

The previous prime is 414315439. The next prime is 414315443. The reversal of 414315440 is 44513414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414315443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634154 + ... + 634806.

Almost surely, 2^414315440 is an apocalyptic number.

414315440 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 414315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607246848).

414315440 is an abundant number, since it is smaller than the sum of its proper divisors (800178256).

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

414315440 is a wasteful number, since it uses less digits than its factorization.

414315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 414315440 is about 20354.7399885137. The cubic root of 414315440 is about 745.4932337284.

Adding to 414315440 its reverse (44513414), we get a palindrome (458828854).

The spelling of 414315440 in words is "four hundred fourteen million, three hundred fifteen thousand, four hundred forty".