506507904 has 240 divisors, whose sum is σ = 1755217530. Its totient is φ = 144571392.

The previous prime is 506507893. The next prime is 506507917. The reversal of 506507904 is 409705605.

It can be written as a sum of positive squares in only one way, i.e., 347747904 + 158760000 = 18648^2 + 12600^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 507534 + ... + 508530.

Almost surely, 2^506507904 is an apocalyptic number.

506507904 is a gapful number since it is divisible by the number (54) 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 506507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877608765).

506507904 is an abundant number, since it is smaller than the sum of its proper divisors (1248709626).

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

506507904 is an equidigital number, since it uses as much as digits as its factorization.

506507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 506507904 is about 22505.7304702602. The cubic root of 506507904 is about 797.1292441063.

The spelling of 506507904 in words is "five hundred six million, five hundred seven thousand, nine hundred four".