415787041 has 8 divisors (see below), whose sum is σ = 424804904. Its totient is φ = 406840320.

The previous prime is 415787039. The next prime is 415787111. The reversal of 415787041 is 140787514.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 415140625 = 804^2 + 20375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(415787041) divides (415787041-1)².

It is a cyclic number.

It is not a de Polignac number, because 415787041 - 2¹ = 415787039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415787641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5886 + ... + 29431.

It is an arithmetic number, because the mean of its divisors is an integer number (53100613).

It is a Poulet number, since it divides 2^415787040-1.

Almost surely, 2^415787041 is an apocalyptic number.

415787041 is the 11773-rd octagonal number.

It is an amenable number.

415787041 is a deficient number, since it is larger than the sum of its proper divisors (9017863).

415787041 is a wasteful number, since it uses less digits than its factorization.

415787041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35571.

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 415787041 is about 20390.8567990656. The cubic root of 415787041 is about 746.3748263123.

The spelling of 415787041 in words is "four hundred fifteen million, seven hundred eighty-seven thousand, forty-one".