416415097 has 16 divisors (see below), whose sum is σ = 491932800. Its totient is φ = 345104640.

The previous prime is 416415091. The next prime is 416415113. The reversal of 416415097 is 790514614.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416415097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416415091) 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, 16929 + ... + 33457.

It is an arithmetic number, because the mean of its divisors is an integer number (30745800).

Almost surely, 2^416415097 is an apocalyptic number.

It is an amenable number.

416415097 is a deficient number, since it is larger than the sum of its proper divisors (75517703).

416415097 is a wasteful number, since it uses less digits than its factorization.

416415097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 416415097 is about 20406.2514196018. The cubic root of 416415097 is about 746.7504427639.

The spelling of 416415097 in words is "four hundred sixteen million, four hundred fifteen thousand, ninety-seven".