365040000 has 480 divisors, whose sum is σ = 1457814600. Its totient is φ = 89856000.

The previous prime is 365039977. The next prime is 365040001. The reversal of 365040000 is 40563.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28079994 + ... + 28080006.

Almost surely, 2^365040000 is an apocalyptic number.

365040000 is a gapful number since it is divisible by the number (30) 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 365040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728907300).

365040000 is an abundant number, since it is smaller than the sum of its proper divisors (1092774600).

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

365040000 is an equidigital number, since it uses as much as digits as its factorization.

365040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 365040000 is about 19106.0199937088. The cubic root of 365040000 is about 714.6830551179.

Adding to 365040000 its reverse (40563), we get a palindrome (365080563).

The spelling of 365040000 in words is "three hundred sixty-five million, forty thousand".