507864540 has 96 divisors (see below), whose sum is σ = 1463132160. Its totient is φ = 131545600.

The previous prime is 507864523. The next prime is 507864583. The reversal of 507864540 is 45468705.

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, 1060021 + ... + 1060499.

It is an arithmetic number, because the mean of its divisors is an integer number (15240960).

Almost surely, 2^507864540 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 507864540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

507864540 is an abundant number, since it is smaller than the sum of its proper divisors (955267620).

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

507864540 is a wasteful number, since it uses less digits than its factorization.

507864540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 507864540 is about 22535.8501059978. The cubic root of 507864540 is about 797.8402893926.

The spelling of 507864540 in words is "five hundred seven million, eight hundred sixty-four thousand, five hundred forty".