416536991 has 16 divisors (see below), whose sum is σ = 459580800. Its totient is φ = 375163488.

The previous prime is 416536949. The next prime is 416536993. The reversal of 416536991 is 199635614.

It is a cyclic number.

It is not a de Polignac number, because 416536991 - 2¹⁴ = 416520607 is a prime.

It is a super-3 number, since 3×416536991³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416536993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104660 + ... + 108566.

It is an arithmetic number, because the mean of its divisors is an integer number (28723800).

Almost surely, 2^416536991 is an apocalyptic number.

416536991 is a deficient number, since it is larger than the sum of its proper divisors (43043809).

416536991 is a wasteful number, since it uses less digits than its factorization.

416536991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118.

The product of its digits is 174960, while the sum is 44.

The square root of 416536991 is about 20409.2378838603. The cubic root of 416536991 is about 746.8232991668.

The spelling of 416536991 in words is "four hundred sixteen million, five hundred thirty-six thousand, nine hundred ninety-one".