503745480 has 480 divisors, whose sum is σ = 2085652800. Its totient is φ = 108428544.

The previous prime is 503745467. The next prime is 503745493. The reversal of 503745480 is 84547305.

503745480 is a `hidden beast` number, since 503 + 74 + 5 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (503745467) and next prime (503745493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3016357 + ... + 3016523.

It is an arithmetic number, because the mean of its divisors is an integer number (4345110).

Almost surely, 2^503745480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503745480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042826400).

503745480 is an abundant number, since it is smaller than the sum of its proper divisors (1581907320).

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

503745480 is a wasteful number, since it uses less digits than its factorization.

503745480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 503745480 is about 22444.2749938598. The cubic root of 503745480 is about 795.6774574301.

The spelling of 503745480 in words is "five hundred three million, seven hundred forty-five thousand, four hundred eighty".