365748480 has 288 divisors, whose sum is σ = 1368662400. Its totient is φ = 92233728.

The previous prime is 365748473. The next prime is 365748503. The reversal of 365748480 is 84847563.

365748480 is a `hidden beast` number, since 36 + 574 + 8 + 48 + 0 = 666.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656362 + ... + 656918.

It is an arithmetic number, because the mean of its divisors is an integer number (4752300).

Almost surely, 2^365748480 is an apocalyptic number.

365748480 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 365748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684331200).

365748480 is an abundant number, since it is smaller than the sum of its proper divisors (1002913920).

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

365748480 is a wasteful number, since it uses less digits than its factorization.

365748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 365748480 is about 19124.5517594531. The cubic root of 365748480 is about 715.1451153775.

It can be divided in two parts, 36574 and 8480, that added together give a palindrome (45054).

The spelling of 365748480 in words is "three hundred sixty-five million, seven hundred forty-eight thousand, four hundred eighty".