414086748 has 48 divisors (see below), whose sum is σ = 1027240704. Its totient is φ = 129376000.

The previous prime is 414086707. The next prime is 414086753. The reversal of 414086748 is 847680414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47161 + ... + 55247.

It is an arithmetic number, because the mean of its divisors is an integer number (21400848).

Almost surely, 2^414086748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414086748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513620352).

414086748 is an abundant number, since it is smaller than the sum of its proper divisors (613153956).

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

414086748 is a wasteful number, since it uses less digits than its factorization.

414086748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 414086748 is about 20349.1215535217. The cubic root of 414086748 is about 745.3560437999.

The spelling of 414086748 in words is "four hundred fourteen million, eighty-six thousand, seven hundred forty-eight".