506545358400 has 441 divisors, whose sum is σ = 1871612449681. Its totient is φ = 134873786880.

The previous prime is 506545358369. The next prime is 506545358461. The reversal of 506545358400 is 4853545605.

The square root of 506545358400 is 711720.

It is a perfect power (a square), and thus also a powerful number.

506545358400 is a `hidden beast` number, since 5 + 0 + 65 + 4 + 5 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182356329024 + 324189029376 = 427032^2 + 569376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 768657271 + ... + 768657929.

Almost surely, 2^506545358400 is an apocalyptic number.

506545358400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506545358400 is the 711720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506545358400

506545358400 is an abundant number, since it is smaller than the sum of its proper divisors (1365067091281).

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

506545358400 is an frugal number, since it uses more digits than its factorization.

506545358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 506545358400 in words is "five hundred six billion, five hundred forty-five million, three hundred fifty-eight thousand, four hundred".