1003620480 has 64 divisors (see below), whose sum is σ = 3199046400. Its totient is φ = 267631616.

The previous prime is 1003620463. The next prime is 1003620521. The reversal of 1003620480 is 840263001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 1003620480.

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 7 ways as a sum of consecutive naturals, for example, 259440 + ... + 263279.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 2^1003620480 is an apocalyptic number.

1003620480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003620480 is an abundant number, since it is smaller than the sum of its proper divisors (2195425920).

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

1003620480 is an equidigital number, since it uses as much as digits as its factorization.

1003620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522741 (or 522729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1003620480 is about 31679.9696969552. The cubic root of 1003620480 is about 1001.2053731584.

Adding to 1003620480 its reverse (840263001), we get a palindrome (1843883481).

The spelling of 1003620480 in words is "one billion, three million, six hundred twenty thousand, four hundred eighty".