500726400 has 192 divisors, whose sum is σ = 1689013920. Its totient is φ = 130314240.

The previous prime is 500726393. The next prime is 500726417. The reversal of 500726400 is 4627005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412194 + ... + 413406.

Almost surely, 2^500726400 is an apocalyptic number.

500726400 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 500726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844506960).

500726400 is an abundant number, since it is smaller than the sum of its proper divisors (1188287520).

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

500726400 is a wasteful number, since it uses less digits than its factorization.

500726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 500726400 is about 22376.9166776837. The cubic root of 500726400 is about 794.0847027082.

The spelling of 500726400 in words is "five hundred million, seven hundred twenty-six thousand, four hundred".