501608800 has 288 divisors, whose sum is σ = 1619896320. Its totient is φ = 146841600.

The previous prime is 501608773. The next prime is 501608827. The reversal of 501608800 is 8806105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (501608773) and next prime (501608827).

It is a super-2 number, since 2×501608800² = 503222776474880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1046961 + ... + 1047439.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^501608800 is an apocalyptic number.

501608800 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 501608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

501608800 is an abundant number, since it is smaller than the sum of its proper divisors (1118287520).

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

501608800 is a wasteful number, since it uses less digits than its factorization.

501608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 501608800 is about 22396.6247457067. The cubic root of 501608800 is about 794.5508848677.

The spelling of 501608800 in words is "five hundred one million, six hundred eight thousand, eight hundred".