503429472 has 384 divisors, whose sum is σ = 1907942400. Its totient is φ = 125411328.

The previous prime is 503429467. The next prime is 503429489. The reversal of 503429472 is 274924305.

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 63 ways as a sum of consecutive naturals, for example, 1493688 + ... + 1494024.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^503429472 is an apocalyptic number.

503429472 is a gapful number since it is divisible by the number (52) 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 503429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953971200).

503429472 is an abundant number, since it is smaller than the sum of its proper divisors (1404512928).

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

503429472 is a wasteful number, since it uses less digits than its factorization.

503429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

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

The square root of 503429472 is about 22437.2340541342. The cubic root of 503429472 is about 795.5110420160.

The spelling of 503429472 in words is "five hundred three million, four hundred twenty-nine thousand, four hundred seventy-two".