414100740 has 48 divisors (see below), whose sum is σ = 1209898368. Its totient is φ = 105625344.

The previous prime is 414100727. The next prime is 414100741. The reversal of 414100740 is 47001414.

It is not an unprimeable number, because it can be changed into a prime (414100741) 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 15 ways as a sum of consecutive naturals, for example, 148657 + ... + 151416.

It is an arithmetic number, because the mean of its divisors is an integer number (25206216).

Almost surely, 2^414100740 is an apocalyptic number.

It is an amenable number.

414100740 is an abundant number, since it is smaller than the sum of its proper divisors (795797628).

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

414100740 is a wasteful number, since it uses less digits than its factorization.

414100740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300108 (or 300106 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 414100740 is about 20349.4653492420. The cubic root of 414100740 is about 745.3644389042.

The spelling of 414100740 in words is "four hundred fourteen million, one hundred thousand, seven hundred forty".