507978848 has 144 divisors (see below), whose sum is σ = 1162123200. Its totient is φ = 218050560.

The previous prime is 507978847. The next prime is 507978859. The reversal of 507978848 is 848879705.

It is a junction number, because it is equal to n+sod(n) for n = 507978793 and 507978802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507978847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430073 + ... + 6430151.

It is an arithmetic number, because the mean of its divisors is an integer number (8070300).

Almost surely, 2^507978848 is an apocalyptic number.

507978848 is a gapful number since it is divisible by the number (58) 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 507978848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581061600).

507978848 is an abundant number, since it is smaller than the sum of its proper divisors (654144352).

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

507978848 is a wasteful number, since it uses less digits than its factorization.

507978848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 56.

The square root of 507978848 is about 22538.3861001625. The cubic root of 507978848 is about 797.9001430736.

The spelling of 507978848 in words is "five hundred seven million, nine hundred seventy-eight thousand, eight hundred forty-eight".