414020508 has 48 divisors (see below), whose sum is σ = 1062211584. Its totient is φ = 124467840.

The previous prime is 414020479. The next prime is 414020527. The reversal of 414020508 is 805020414.

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, 4416 + ... + 29112.

It is an arithmetic number, because the mean of its divisors is an integer number (22129408).

Almost surely, 2^414020508 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 414020508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531105792).

414020508 is an abundant number, since it is smaller than the sum of its proper divisors (648191076).

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

414020508 is a wasteful number, since it uses less digits than its factorization.

414020508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24842 (or 24840 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 414020508 is about 20347.4938997411. The cubic root of 414020508 is about 745.3162976860.

The spelling of 414020508 in words is "four hundred fourteen million, twenty thousand, five hundred eight".