506678400 has 288 divisors, whose sum is σ = 1840315620. Its totient is φ = 132710400.

The previous prime is 506678329. The next prime is 506678411. The reversal of 506678400 is 4876605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 265559616 + 241118784 = 16296^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102280 + ... + 2102520.

Almost surely, 2^506678400 is an apocalyptic number.

506678400 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 506678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920157810).

506678400 is an abundant number, since it is smaller than the sum of its proper divisors (1333637220).

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

506678400 is a wasteful number, since it uses less digits than its factorization.

506678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506678400 is about 22509.5179868428. The cubic root of 506678400 is about 797.2186748273.

The spelling of 506678400 in words is "five hundred six million, six hundred seventy-eight thousand, four hundred".