512451640 has 64 divisors (see below), whose sum is σ = 1185528960. Its totient is φ = 199248000.

The previous prime is 512451637. The next prime is 512451671. The reversal of 512451640 is 46154215.

It is a junction number, because it is equal to n+sod(n) for n = 512451599 and 512451608.

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, 431127 + ... + 432313.

It is an arithmetic number, because the mean of its divisors is an integer number (18523890).

Almost surely, 2^512451640 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 512451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592764480).

512451640 is an abundant number, since it is smaller than the sum of its proper divisors (673077320).

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

512451640 is a wasteful number, since it uses less digits than its factorization.

512451640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 512451640 is about 22637.3947264256. The cubic root of 512451640 is about 800.2351600346.

The spelling of 512451640 in words is "five hundred twelve million, four hundred fifty-one thousand, six hundred forty".