414661506 has 64 divisors (see below), whose sum is σ = 975110400. Its totient is φ = 115105536.

The previous prime is 414661493. The next prime is 414661519. The reversal of 414661506 is 605166414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414661493) and next prime (414661519).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241780 + ... + 243488.

It is an arithmetic number, because the mean of its divisors is an integer number (15236100).

Almost surely, 2^414661506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414661506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487555200).

414661506 is an abundant number, since it is smaller than the sum of its proper divisors (560448894).

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

414661506 is a wasteful number, since it uses less digits than its factorization.

414661506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 414661506 is about 20363.2390841929. The cubic root of 414661506 is about 745.7007391210.

The spelling of 414661506 in words is "four hundred fourteen million, six hundred sixty-one thousand, five hundred six".