509650480 has 80 divisors (see below), whose sum is σ = 1260481824. Its totient is φ = 190976000.

The previous prime is 509650439. The next prime is 509650483. The reversal of 509650480 is 84056905.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×509650480² = 519487223528460800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509650483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340614 + ... + 342106.

Almost surely, 2^509650480 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 509650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630240912).

509650480 is an abundant number, since it is smaller than the sum of its proper divisors (750831344).

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

509650480 is a wasteful number, since it uses less digits than its factorization.

509650480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 509650480 is about 22575.4397520846. The cubic root of 509650480 is about 798.7744150524.

The spelling of 509650480 in words is "five hundred nine million, six hundred fifty thousand, four hundred eighty".