507378690 has 192 divisors, whose sum is σ = 1664312832. Its totient is φ = 104371200.

The previous prime is 507378671. The next prime is 507378713. The reversal of 507378690 is 96873705.

It is a happy number.

It is a super-2 number, since 2×507378690² = 514866270132232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335035 + ... + 336545.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^507378690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507378690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

507378690 is an abundant number, since it is smaller than the sum of its proper divisors (1156934142).

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

507378690 is a wasteful number, since it uses less digits than its factorization.

507378690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 507378690 is about 22525.0680354133. The cubic root of 507378690 is about 797.5857895217.

The spelling of 507378690 in words is "five hundred seven million, three hundred seventy-eight thousand, six hundred ninety".