503464900800 has 336 divisors, whose sum is σ = 1764457951392. Its totient is φ = 125239296000.

The previous prime is 503464900769. The next prime is 503464900801. The reversal of 503464900800 is 8009464305.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (503464900801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9193500 + ... + 9248100.

Almost surely, 2^503464900800 is an apocalyptic number.

503464900800 is a gapful number since it is divisible by the number (50) 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 503464900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882228975696).

503464900800 is an abundant number, since it is smaller than the sum of its proper divisors (1260993050592).

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

503464900800 is a wasteful number, since it uses less digits than its factorization.

503464900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54756 (or 54741 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 503464900800 in words is "five hundred three billion, four hundred sixty-four million, nine hundred thousand, eight hundred".