414220147 has 24 divisors (see below), whose sum is σ = 488376000. Its totient is φ = 349789440.

The previous prime is 414220123. The next prime is 414220187. The reversal of 414220147 is 741022414.

It is not a de Polignac number, because 414220147 - 2¹⁵ = 414187379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414220187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161229 + ... + 163777.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^414220147 is an apocalyptic number.

414220147 is a deficient number, since it is larger than the sum of its proper divisors (74155853).

414220147 is a wasteful number, since it uses less digits than its factorization.

414220147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 414220147 is about 20352.3990477781. The cubic root of 414220147 is about 745.4360745955.

The spelling of 414220147 in words is "four hundred fourteen million, two hundred twenty thousand, one hundred forty-seven".