506928400 has 60 divisors (see below), whose sum is σ = 1328624784. Its totient is φ = 184336000.

The previous prime is 506928397. The next prime is 506928403. The reversal of 506928400 is 4829605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506928397) and next prime (506928403).

It is not an unprimeable number, because it can be changed into a prime (506928403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53206 + ... + 62005.

Almost surely, 2^506928400 is an apocalyptic number.

506928400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506928400 is an abundant number, since it is smaller than the sum of its proper divisors (821696384).

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

506928400 is a wasteful number, since it uses less digits than its factorization.

506928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115240 (or 115229 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 506928400 is about 22515.0705084395. The cubic root of 506928400 is about 797.3497717243.

The spelling of 506928400 in words is "five hundred six million, nine hundred twenty-eight thousand, four hundred".