414908730 has 80 divisors (see below), whose sum is σ = 1164201984. Its totient is φ = 105827040.

The previous prime is 414908729. The next prime is 414908737. The reversal of 414908730 is 37809414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414908737) 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 39 ways as a sum of consecutive naturals, for example, 7495 + ... + 29765.

Almost surely, 2^414908730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414908730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582100992).

414908730 is an abundant number, since it is smaller than the sum of its proper divisors (749293254).

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

414908730 is a wasteful number, since it uses less digits than its factorization.

414908730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22313 (or 22304 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 414908730 is about 20369.3085302373. The cubic root of 414908730 is about 745.8489069568.

The spelling of 414908730 in words is "four hundred fourteen million, nine hundred eight thousand, seven hundred thirty".