507428712 has 192 divisors, whose sum is σ = 1664208000. Its totient is φ = 144789120.

The previous prime is 507428659. The next prime is 507428729. The reversal of 507428712 is 217824705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666412 + ... + 667172.

It is an arithmetic number, because the mean of its divisors is an integer number (8667750).

Almost surely, 2^507428712 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 507428712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104000).

507428712 is an abundant number, since it is smaller than the sum of its proper divisors (1156779288).

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

507428712 is an equidigital number, since it uses as much as digits as its factorization.

507428712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 507428712 is about 22526.1783709532. The cubic root of 507428712 is about 797.6119997443.

The spelling of 507428712 in words is "five hundred seven million, four hundred twenty-eight thousand, seven hundred twelve".