503763480 has 192 divisors, whose sum is σ = 1864062720. Its totient is φ = 116793600.

The previous prime is 503763451. The next prime is 503763493. The reversal of 503763480 is 84367305.

It is a happy number.

503763480 is a `hidden beast` number, since 503 + 76 + 3 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88315 + ... + 93845.

It is an arithmetic number, because the mean of its divisors is an integer number (9708660).

Almost surely, 2^503763480 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 503763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932031360).

503763480 is an abundant number, since it is smaller than the sum of its proper divisors (1360299240).

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

503763480 is a wasteful number, since it uses less digits than its factorization.

503763480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 503763480 is about 22444.6759834042. The cubic root of 503763480 is about 795.6869344538.

The spelling of 503763480 in words is "five hundred three million, seven hundred sixty-three thousand, four hundred eighty".