414982740 has 144 divisors (see below), whose sum is σ = 1237630464. Its totient is φ = 103776000.

The previous prime is 414982697. The next prime is 414982741. The reversal of 414982740 is 47289414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414982741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4108690 + ... + 4108790.

It is an arithmetic number, because the mean of its divisors is an integer number (8594656).

Almost surely, 2^414982740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414982740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618815232).

414982740 is an abundant number, since it is smaller than the sum of its proper divisors (822647724).

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

414982740 is a wasteful number, since it uses less digits than its factorization.

414982740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 414982740 is about 20371.1251530199. The cubic root of 414982740 is about 745.8932516458.

The spelling of 414982740 in words is "four hundred fourteen million, nine hundred eighty-two thousand, seven hundred forty".