507476112 has 160 divisors (see below), whose sum is σ = 1631145600. Its totient is φ = 133570560.

The previous prime is 507476087. The next prime is 507476183. The reversal of 507476112 is 211674705.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 114514 + ... + 118862.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^507476112 is an apocalyptic number.

507476112 is a gapful number since it is divisible by the number (52) 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 507476112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815572800).

507476112 is an abundant number, since it is smaller than the sum of its proper divisors (1123669488).

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

507476112 is a wasteful number, since it uses less digits than its factorization.

507476112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 507476112 is about 22527.2304556064. The cubic root of 507476112 is about 797.6368345180.

The spelling of 507476112 in words is "five hundred seven million, four hundred seventy-six thousand, one hundred twelve".