365999040 has 224 divisors, whose sum is σ = 1408907520. Its totient is φ = 88704000.

The previous prime is 365999017. The next prime is 365999047. The reversal of 365999040 is 40999563.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365999047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93115 + ... + 96965.

Almost surely, 2^365999040 is an apocalyptic number.

365999040 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 365999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704453760).

365999040 is an abundant number, since it is smaller than the sum of its proper divisors (1042908480).

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

365999040 is a wasteful number, since it uses less digits than its factorization.

365999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 365999040 is about 19131.1013796906. The cubic root of 365999040 is about 715.3083840967.

The spelling of 365999040 in words is "three hundred sixty-five million, nine hundred ninety-nine thousand, forty".