512546496 has 224 divisors, whose sum is σ = 1738286592. Its totient is φ = 129392640.

The previous prime is 512546471. The next prime is 512546519. The reversal of 512546496 is 694645215.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546540 + ... + 547476.

It is an arithmetic number, because the mean of its divisors is an integer number (7760208).

Almost surely, 2^512546496 is an apocalyptic number.

512546496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869143296).

512546496 is an abundant number, since it is smaller than the sum of its proper divisors (1225740096).

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

512546496 is a wasteful number, since it uses less digits than its factorization.

512546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 512546496 is about 22639.4897469002. The cubic root of 512546496 is about 800.2845321232.

The spelling of 512546496 in words is "five hundred twelve million, five hundred forty-six thousand, four hundred ninety-six".