414249960 has 96 divisors (see below), whose sum is σ = 1273004640. Its totient is φ = 107839872.

The previous prime is 414249959. The next prime is 414249967. The reversal of 414249960 is 69942414.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (414249967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220947 + ... + 222813.

It is an arithmetic number, because the mean of its divisors is an integer number (13260465).

Almost surely, 2^414249960 is an apocalyptic number.

414249960 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 414249960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636502320).

414249960 is an abundant number, since it is smaller than the sum of its proper divisors (858754680).

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

414249960 is a wasteful number, since it uses less digits than its factorization.

414249960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 414249960 is about 20353.1314543979. The cubic root of 414249960 is about 745.4539581233.

The spelling of 414249960 in words is "four hundred fourteen million, two hundred forty-nine thousand, nine hundred sixty".