365400080 has 80 divisors (see below), whose sum is σ = 899299584. Its totient is φ = 137786880.

The previous prime is 365400059. The next prime is 365400083. The reversal of 365400080 is 80004563.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (365400083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129242 + ... + 132038.

Almost surely, 2^365400080 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 365400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449649792).

365400080 is an abundant number, since it is smaller than the sum of its proper divisors (533899504).

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

365400080 is a wasteful number, since it uses less digits than its factorization.

365400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 365400080 is about 19115.4408790381. The cubic root of 365400080 is about 714.9179686482.

The spelling of 365400080 in words is "three hundred sixty-five million, four hundred thousand, eighty".