414488072 has 16 divisors (see below), whose sum is σ = 777522240. Its totient is φ = 207148816.

The previous prime is 414488057. The next prime is 414488099. The reversal of 414488072 is 270884414.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8693 + ... + 30075.

It is an arithmetic number, because the mean of its divisors is an integer number (48595140).

Almost surely, 2^414488072 is an apocalyptic number.

It is an amenable number.

414488072 is a deficient number, since it is larger than the sum of its proper divisors (363034168).

414488072 is a wasteful number, since it uses less digits than its factorization.

414488072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23812 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 414488072 is about 20358.9801316274. The cubic root of 414488072 is about 745.5967604177.

The spelling of 414488072 in words is "four hundred fourteen million, four hundred eighty-eight thousand, seventy-two".