414248640 has 224 divisors, whose sum is σ = 1491813120. Its totient is φ = 96546816.

The previous prime is 414248623. The next prime is 414248641. The reversal of 414248640 is 46842414.

It is not an unprimeable number, because it can be changed into a prime (414248641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236247 + ... + 237993.

It is an arithmetic number, because the mean of its divisors is an integer number (6659880).

Almost surely, 2^414248640 is an apocalyptic number.

414248640 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 414248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745906560).

414248640 is an abundant number, since it is smaller than the sum of its proper divisors (1077564480).

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

414248640 is a wasteful number, since it uses less digits than its factorization.

414248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 414248640 is about 20353.0990269295. The cubic root of 414248640 is about 745.4531663306.

The spelling of 414248640 in words is "four hundred fourteen million, two hundred forty-eight thousand, six hundred forty".