414060075 has 144 divisors (see below), whose sum is σ = 923753376. Its totient is φ = 174182400.

The previous prime is 414060037. The next prime is 414060121. The reversal of 414060075 is 570060414.

It is not a de Polignac number, because 414060075 - 2⁸ = 414059819 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 546597 + ... + 547353.

It is an arithmetic number, because the mean of its divisors is an integer number (6414954).

Almost surely, 2^414060075 is an apocalyptic number.

414060075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414060075 is an abundant number, since it is smaller than the sum of its proper divisors (509693301).

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

414060075 is a wasteful number, since it uses less digits than its factorization.

414060075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 414060075 is about 20348.4661584111. The cubic root of 414060075 is about 745.3400396585.

The spelling of 414060075 in words is "four hundred fourteen million, sixty thousand, seventy-five".