506444400 has 900 divisors, whose sum is σ = 2386086120. Its totient is φ = 101606400.

The previous prime is 506444381. The next prime is 506444413. The reversal of 506444400 is 4444605.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17463586 + ... + 17463614.

Almost surely, 2^506444400 is an apocalyptic number.

506444400 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 506444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193043060).

506444400 is an abundant number, since it is smaller than the sum of its proper divisors (1879641720).

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

506444400 is a wasteful number, since it uses less digits than its factorization.

506444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 506444400 is about 22504.3195853596. The cubic root of 506444400 is about 797.0959290544.

The spelling of 506444400 in words is "five hundred six million, four hundred forty-four thousand, four hundred".