365506416 has 120 divisors (see below), whose sum is σ = 1135105920. Its totient is φ = 108854400.

The previous prime is 365506369. The next prime is 365506429. The reversal of 365506416 is 614605563.

365506416 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91501 + ... + 95411.

It is an arithmetic number, because the mean of its divisors is an integer number (9459216).

Almost surely, 2^365506416 is an apocalyptic number.

365506416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567552960).

365506416 is an abundant number, since it is smaller than the sum of its proper divisors (769599504).

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

365506416 is a wasteful number, since it uses less digits than its factorization.

365506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 365506416 is about 19118.2220930713. Note that the first 3 decimals coincide. The cubic root of 365506416 is about 714.9873119498.

The spelling of 365506416 in words is "three hundred sixty-five million, five hundred six thousand, four hundred sixteen".