414233064 has 72 divisors (see below), whose sum is σ = 1305056610. Its totient is φ = 118351296.

The previous prime is 414233051. The next prime is 414233077. The reversal of 414233064 is 460332414.

It is an interprime number because it is at equal distance from previous prime (414233051) and next prime (414233077).

It can be written as a sum of positive squares in only one way, i.e., 280830564 + 133402500 = 16758^2 + 11550^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 55179 + ... + 62234.

Almost surely, 2^414233064 is an apocalyptic number.

It is an amenable number.

414233064 is an abundant number, since it is smaller than the sum of its proper divisors (890823546).

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

414233064 is a wasteful number, since it uses less digits than its factorization.

414233064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117439 (or 117425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 414233064 is about 20352.7163789014. The cubic root of 414233064 is about 745.4438230499.

Adding to 414233064 its reverse (460332414), we get a palindrome (874565478).

The spelling of 414233064 in words is "four hundred fourteen million, two hundred thirty-three thousand, sixty-four".