513960480 has 288 divisors, whose sum is σ = 1944528768. Its totient is φ = 122572800.

The previous prime is 513960457. The next prime is 513960509. The reversal of 513960480 is 84069315.

513960480 is a `hidden beast` number, since 513 + 9 + 60 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124412 + ... + 1124868.

It is an arithmetic number, because the mean of its divisors is an integer number (6751836).

Almost surely, 2^513960480 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 513960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972264384).

513960480 is an abundant number, since it is smaller than the sum of its proper divisors (1430568288).

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

513960480 is a wasteful number, since it uses less digits than its factorization.

513960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 513960480 is about 22670.6965045188. The cubic root of 513960480 is about 801.0197828347.

The spelling of 513960480 in words is "five hundred thirteen million, nine hundred sixty thousand, four hundred eighty".