506552400 has 480 divisors, whose sum is σ = 1992729600. Its totient is φ = 121651200.

The previous prime is 506552399. The next prime is 506552441. The reversal of 506552400 is 4255605.

506552400 = T₄₀₅ + T₄₀₆ + ... + T₁₄₅₈.

506552400 is a `hidden beast` number, since 5 + 0 + 655 + 2 + 4 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5691556 + ... + 5691644.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2^506552400 is an apocalyptic number.

506552400 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 506552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996364800).

506552400 is an abundant number, since it is smaller than the sum of its proper divisors (1486177200).

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

506552400 is a wasteful number, since it uses less digits than its factorization.

506552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 506552400 is about 22506.7189967796. The cubic root of 506552400 is about 797.1525856468.

The spelling of 506552400 in words is "five hundred six million, five hundred fifty-two thousand, four hundred".