510726480 has 240 divisors, whose sum is σ = 1785094080. Its totient is φ = 120637440.

The previous prime is 510726413. The next prime is 510726481. The reversal of 510726480 is 84627015.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510726481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248516 + ... + 1248924.

It is an arithmetic number, because the mean of its divisors is an integer number (7437892).

Almost surely, 2^510726480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510726480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892547040).

510726480 is an abundant number, since it is smaller than the sum of its proper divisors (1274367600).

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

510726480 is a wasteful number, since it uses less digits than its factorization.

510726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 510726480 is about 22599.2583949120. The cubic root of 510726480 is about 799.3361576273.

The spelling of 510726480 in words is "five hundred ten million, seven hundred twenty-six thousand, four hundred eighty".