513463860 has 432 divisors, whose sum is σ = 2036850816. Its totient is φ = 105815808.

The previous prime is 513463849. The next prime is 513463871. The reversal of 513463860 is 68364315.

513463860 is a `hidden beast` number, since 5 + 13 + 4 + 638 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (513463849) and next prime (513463871).

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 143 ways as a sum of consecutive naturals, for example, 11940999 + ... + 11941041.

Almost surely, 2^513463860 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 513463860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018425408).

513463860 is an abundant number, since it is smaller than the sum of its proper divisors (1523386956).

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

513463860 is a wasteful number, since it uses less digits than its factorization.

513463860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 513463860 is about 22659.7409517408. The cubic root of 513463860 is about 800.7617016165.

The spelling of 513463860 in words is "five hundred thirteen million, four hundred sixty-three thousand, eight hundred sixty".