505608264 has 384 divisors, whose sum is σ = 1786060800. Its totient is φ = 131725440.

The previous prime is 505608263. The next prime is 505608307. The reversal of 505608264 is 462806505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505608263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7546359 + ... + 7546425.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^505608264 is an apocalyptic number.

505608264 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 505608264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893030400).

505608264 is an abundant number, since it is smaller than the sum of its proper divisors (1280452536).

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

505608264 is a wasteful number, since it uses less digits than its factorization.

505608264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 505608264 is about 22485.7346777907. The cubic root of 505608264 is about 796.6570209049.

The spelling of 505608264 in words is "five hundred five million, six hundred eight thousand, two hundred sixty-four".