506528400 has 240 divisors, whose sum is σ = 1895307264. Its totient is φ = 113226240.

The previous prime is 506528387. The next prime is 506528417. The reversal of 506528400 is 4825605.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 394159 + ... + 395441.

Almost surely, 2^506528400 is an apocalyptic number.

506528400 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 506528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947653632).

506528400 is an abundant number, since it is smaller than the sum of its proper divisors (1388778864).

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

506528400 is a wasteful number, since it uses less digits than its factorization.

506528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 506528400 is about 22506.1858163484. The cubic root of 506528400 is about 797.1399959889.

It can be divided in two parts, 506 and 528400, that added together give a triangular number (528906 = T₁₀₂₈).

The spelling of 506528400 in words is "five hundred six million, five hundred twenty-eight thousand, four hundred".