510873048 has 256 divisors, whose sum is σ = 1714176000. Its totient is φ = 137894400.

The previous prime is 510873047. The next prime is 510873059. The reversal of 510873048 is 840378015.

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 (510873047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2674633 + ... + 2674823.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2^510873048 is an apocalyptic number.

510873048 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 510873048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

510873048 is an abundant number, since it is smaller than the sum of its proper divisors (1203302952).

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

510873048 is a wasteful number, since it uses less digits than its factorization.

510873048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 510873048 is about 22602.5009235704. The cubic root of 510873048 is about 799.4126146620.

The spelling of 510873048 in words is "five hundred ten million, eight hundred seventy-three thousand, forty-eight".