414997506 has 320 divisors, whose sum is σ = 1304709120. Its totient is φ = 95178240.

The previous prime is 414997493. The next prime is 414997529. The reversal of 414997506 is 605799414.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4029051 + ... + 4029153.

It is an arithmetic number, because the mean of its divisors is an integer number (4077216).

Almost surely, 2^414997506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414997506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652354560).

414997506 is an abundant number, since it is smaller than the sum of its proper divisors (889711614).

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

414997506 is a wasteful number, since it uses less digits than its factorization.

414997506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 414997506 is about 20371.4875745489. The cubic root of 414997506 is about 745.9020983825.

The spelling of 414997506 in words is "four hundred fourteen million, nine hundred ninety-seven thousand, five hundred six".