36300480 has 56 divisors (see below), whose sum is σ = 115257072. Its totient is φ = 9679872.

The previous prime is 36300449. The next prime is 36300487. The reversal of 36300480 is 8400363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36300480.

It is not an unprimeable number, because it can be changed into a prime (36300487) 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 7 ways as a sum of consecutive naturals, for example, 17947 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (2058162).

Almost surely, 2^36300480 is an apocalyptic number.

36300480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36300480 is an abundant number, since it is smaller than the sum of its proper divisors (78956592).

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

36300480 is a wasteful number, since it uses less digits than its factorization.

36300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36300480 is about 6024.9879667930. The cubic root of 36300480 is about 331.1088502699.

The spelling of 36300480 in words is "thirty-six million, three hundred thousand, four hundred eighty".