513492480 has 640 divisors, whose sum is σ = 2121292800. Its totient is φ = 116785152.

The previous prime is 513492479. The next prime is 513492481. The reversal of 513492480 is 84294315.

513492480 is a `hidden beast` number, since 513 + 49 + 24 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (513492479) and next prime (513492481).

It is a tau number, because it is divible by the number of its divisors (640).

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 (513492481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325749 + ... + 22325771.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^513492480 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 513492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060646400).

513492480 is an abundant number, since it is smaller than the sum of its proper divisors (1607800320).

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

513492480 is a wasteful number, since it uses less digits than its factorization.

513492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

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

The square root of 513492480 is about 22660.3724594279. The cubic root of 513492480 is about 800.7765792453.

The spelling of 513492480 in words is "five hundred thirteen million, four hundred ninety-two thousand, four hundred eighty".