364417116 has 72 divisors (see below), whose sum is σ = 992073600. Its totient is φ = 103809888.

The previous prime is 364417073. The next prime is 364417127. The reversal of 364417116 is 611714463.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259785 + ... + 261183.

It is an arithmetic number, because the mean of its divisors is an integer number (13778800).

Almost surely, 2^364417116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364417116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496036800).

364417116 is an abundant number, since it is smaller than the sum of its proper divisors (627656484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364417116 is a wasteful number, since it uses less digits than its factorization.

364417116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1854 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 364417116 is about 19089.7123079422. The cubic root of 364417116 is about 714.2763251871.

The spelling of 364417116 in words is "three hundred sixty-four million, four hundred seventeen thousand, one hundred sixteen".