416084697 has 96 divisors (see below), whose sum is σ = 757186560. Its totient is φ = 214980480.

The previous prime is 416084677. The next prime is 416084717. The reversal of 416084697 is 796480614.

It is an interprime number because it is at equal distance from previous prime (416084677) and next prime (416084717).

It is not a de Polignac number, because 416084697 - 2⁶ = 416084633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416084677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2650143 + ... + 2650299.

It is an arithmetic number, because the mean of its divisors is an integer number (7887360).

Almost surely, 2^416084697 is an apocalyptic number.

It is an amenable number.

416084697 is a deficient number, since it is larger than the sum of its proper divisors (341101863).

416084697 is a wasteful number, since it uses less digits than its factorization.

416084697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 416084697 is about 20398.1542547359. The cubic root of 416084697 is about 746.5528901848.

The spelling of 416084697 in words is "four hundred sixteen million, eighty-four thousand, six hundred ninety-seven".