414950420 has 24 divisors (see below), whose sum is σ = 880027848. Its totient is φ = 164336000.

The previous prime is 414950377. The next prime is 414950477. The reversal of 414950420 is 24059414.

It can be written as a sum of positive squares in 4 ways, for example, as 220403716 + 194546704 = 14846^2 + 13948^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100691 + ... + 104730.

It is an arithmetic number, because the mean of its divisors is an integer number (36667827).

Almost surely, 2^414950420 is an apocalyptic number.

It is an amenable number.

414950420 is an abundant number, since it is smaller than the sum of its proper divisors (465077428).

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

414950420 is a wasteful number, since it uses less digits than its factorization.

414950420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205531 (or 205529 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 414950420 is about 20370.3318578761. The cubic root of 414950420 is about 745.8738870687.

The spelling of 414950420 in words is "four hundred fourteen million, nine hundred fifty thousand, four hundred twenty".