513924480 has 128 divisors (see below), whose sum is σ = 1820210400. Its totient is φ = 137041920.

The previous prime is 513924469. The next prime is 513924503. The reversal of 513924480 is 84429315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×513924480² = 528236742286540800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410 + ... + 32150.

Almost surely, 2^513924480 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 513924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910105200).

513924480 is an abundant number, since it is smaller than the sum of its proper divisors (1306285920).

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

513924480 is a wasteful number, since it uses less digits than its factorization.

513924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29769 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 513924480 is about 22669.9025141265. The cubic root of 513924480 is about 801.0010801091.

The spelling of 513924480 in words is "five hundred thirteen million, nine hundred twenty-four thousand, four hundred eighty".