507465728 has 104 divisors (see below), whose sum is σ = 1266000960. Its totient is φ = 197591040.

The previous prime is 507465727. The next prime is 507465757. The reversal of 507465728 is 827564705.

It is a Cunningham number, because it is equal to 22527²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507465727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314588 + ... + 316196.

Almost surely, 2^507465728 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 507465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633000480).

507465728 is an abundant number, since it is smaller than the sum of its proper divisors (758535232).

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

507465728 is a wasteful number, since it uses less digits than its factorization.

507465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The square root of 507465728 is about 22526.9999778044. Note that the first 4 decimals coincide. The cubic root of 507465728 is about 797.6313940535.

The spelling of 507465728 in words is "five hundred seven million, four hundred sixty-five thousand, seven hundred twenty-eight".