507645632 has 56 divisors (see below), whose sum is σ = 1091165712. Its totient is φ = 232934400.

The previous prime is 507645631. The next prime is 507645643. The reversal of 507645632 is 236546705.

It is not an unprimeable number, because it can be changed into a prime (507645631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148907 + ... + 152277.

It is an arithmetic number, because the mean of its divisors is an integer number (19485102).

Almost surely, 2^507645632 is an apocalyptic number.

507645632 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 507645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545582856).

507645632 is an abundant number, since it is smaller than the sum of its proper divisors (583520080).

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

507645632 is a wasteful number, since it uses less digits than its factorization.

507645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 507645632 is about 22530.9926989469. The cubic root of 507645632 is about 797.7256402370.

The spelling of 507645632 in words is "five hundred seven million, six hundred forty-five thousand, six hundred thirty-two".