416242993 has 4 divisors (see below), whose sum is σ = 416293668. Its totient is φ = 416192320.

The previous prime is 416242979. The next prime is 416242997. The reversal of 416242993 is 399242614.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 309161889 + 107081104 = 17583^2 + 10348^2 .

It is a cyclic number.

It is not a de Polignac number, because 416242993 - 2¹⁷ = 416111921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416242997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9868 + ... + 30493.

It is an arithmetic number, because the mean of its divisors is an integer number (104073417).

Almost surely, 2^416242993 is an apocalyptic number.

It is an amenable number.

416242993 is a deficient number, since it is larger than the sum of its proper divisors (50675).

416242993 is a wasteful number, since it uses less digits than its factorization.

416242993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50674.

The product of its digits is 93312, while the sum is 40.

The square root of 416242993 is about 20402.0340407519. The cubic root of 416242993 is about 746.6475514833.

The spelling of 416242993 in words is "four hundred sixteen million, two hundred forty-two thousand, nine hundred ninety-three".