414874464 has 48 divisors (see below), whose sum is σ = 1126606320. Its totient is φ = 133521920.

The previous prime is 414874433. The next prime is 414874517. The reversal of 414874464 is 464478414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71727 + ... + 77294.

It is an arithmetic number, because the mean of its divisors is an integer number (23470965).

Almost surely, 2^414874464 is an apocalyptic number.

It is an amenable number.

414874464 is an abundant number, since it is smaller than the sum of its proper divisors (711731856).

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

414874464 is a wasteful number, since it uses less digits than its factorization.

414874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149063 (or 149055 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 414874464 is about 20368.4673944801. The cubic root of 414874464 is about 745.8283739573.

The spelling of 414874464 in words is "four hundred fourteen million, eight hundred seventy-four thousand, four hundred sixty-four".