365274240 has 384 divisors, whose sum is σ = 1343070720. Its totient is φ = 84049920.

The previous prime is 365274233. The next prime is 365274241. The reversal of 365274240 is 42472563.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (365274241) 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 47 ways as a sum of consecutive naturals, for example, 11783025 + ... + 11783055.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2^365274240 is an apocalyptic number.

365274240 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 365274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671535360).

365274240 is an abundant number, since it is smaller than the sum of its proper divisors (977796480).

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

365274240 is a wasteful number, since it uses less digits than its factorization.

365274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 365274240 is about 19112.1490157439. The cubic root of 365274240 is about 714.8358891124.

The spelling of 365274240 in words is "three hundred sixty-five million, two hundred seventy-four thousand, two hundred forty".