503425046400 has 384 divisors, whose sum is σ = 1710357672960. Its totient is φ = 130077696000.

The previous prime is 503425046329. The next prime is 503425046471. The reversal of 503425046400 is 4640524305.

It is an interprime number because it is at equal distance from previous prime (503425046329) and next prime (503425046471).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45565677 + ... + 45576723.

It is an arithmetic number, because the mean of its divisors is an integer number (4454056440).

Almost surely, 2^503425046400 is an apocalyptic number.

503425046400 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 503425046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855178836480).

503425046400 is an abundant number, since it is smaller than the sum of its proper divisors (1206932626560).

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

503425046400 is a wasteful number, since it uses less digits than its factorization.

503425046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 503425046400 in words is "five hundred three billion, four hundred twenty-five million, forty-six thousand, four hundred".