413667400284 has 72 divisors (see below), whose sum is σ = 1100787891840. Its totient is φ = 130620663072.

The previous prime is 413667400253. The next prime is 413667400309. The reversal of 413667400284 is 482004766314.

413667400284 is a `hidden beast` number, since 4 + 1 + 366 + 7 + 4 + 0 + 0 + 284 = 666.

It is a super-2 number, since 2×413667400284² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12286297 + ... + 12319919.

It is an arithmetic number, because the mean of its divisors is an integer number (15288720720).

Almost surely, 2^413667400284 is an apocalyptic number.

It is an amenable number.

413667400284 is an abundant number, since it is smaller than the sum of its proper divisors (687120491556).

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

413667400284 is a wasteful number, since it uses less digits than its factorization.

413667400284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51639 (or 51634 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 413667400284 in words is "four hundred thirteen billion, six hundred sixty-seven million, four hundred thousand, two hundred eighty-four".