505392048 has 400 divisors, whose sum is σ = 1847292480. Its totient is φ = 130056192.

The previous prime is 505392011. The next prime is 505392071. The reversal of 505392048 is 840293505.

It is a super-2 number, since 2×505392048² = 510842244363268608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4472440 + ... + 4472552.

Almost surely, 2^505392048 is an apocalyptic number.

505392048 is a gapful number since it is divisible by the number (58) 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 505392048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923646240).

505392048 is an abundant number, since it is smaller than the sum of its proper divisors (1341900432).

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

505392048 is a wasteful number, since it uses less digits than its factorization.

505392048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 505392048 is about 22480.9263154346. The cubic root of 505392048 is about 796.5434451283.

The spelling of 505392048 in words is "five hundred five million, three hundred ninety-two thousand, forty-eight".