507235938 has 64 divisors (see below), whose sum is σ = 1142138880. Its totient is φ = 148856000.

The previous prime is 507235933. The next prime is 507235943. The reversal of 507235938 is 839532705.

It is an interprime number because it is at equal distance from previous prime (507235933) and next prime (507235943).

It is a self number, because there is not a number n which added to its sum of digits gives 507235938.

It is not an unprimeable number, because it can be changed into a prime (507235931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312493 + ... + 314111.

It is an arithmetic number, because the mean of its divisors is an integer number (17845920).

Almost surely, 2^507235938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507235938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440).

507235938 is an abundant number, since it is smaller than the sum of its proper divisors (634902942).

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

507235938 is a wasteful number, since it uses less digits than its factorization.

507235938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 507235938 is about 22521.8990762324. The cubic root of 507235938 is about 797.5109817246.

The spelling of 507235938 in words is "five hundred seven million, two hundred thirty-five thousand, nine hundred thirty-eight".