503064000 has 448 divisors, whose sum is σ = 1968520320. Its totient is φ = 125337600.

The previous prime is 503063987. The next prime is 503064041. The reversal of 503064000 is 460305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3671932 + ... + 3672068.

Almost surely, 2^503064000 is an apocalyptic number.

503064000 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 503064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984260160).

503064000 is an abundant number, since it is smaller than the sum of its proper divisors (1465456320).

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

503064000 is a wasteful number, since it uses less digits than its factorization.

503064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 503064000 is about 22429.0882561017. The cubic root of 503064000 is about 795.3184911153.

It can be divided in two parts, 50 and 3064000, that added together give a triangular number (3064050 = T₂₄₇₅).

The spelling of 503064000 in words is "five hundred three million, sixty-four thousand".