365772960 has 288 divisors, whose sum is σ = 1442593152. Its totient is φ = 82667520.

The previous prime is 365772959. The next prime is 365772961. The reversal of 365772960 is 69277563.

It is an interprime number because it is at equal distance from previous prime (365772959) and next prime (365772961).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (365772961) 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, 1320342 + ... + 1320618.

It is an arithmetic number, because the mean of its divisors is an integer number (5009004).

Almost surely, 2^365772960 is an apocalyptic number.

365772960 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 365772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721296576).

365772960 is an abundant number, since it is smaller than the sum of its proper divisors (1076820192).

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

365772960 is a wasteful number, since it uses less digits than its factorization.

365772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 365772960 is about 19125.1917637445. The cubic root of 365772960 is about 715.1610702051.

The spelling of 365772960 in words is "three hundred sixty-five million, seven hundred seventy-two thousand, nine hundred sixty".