500033952 has 144 divisors (see below), whose sum is σ = 1603405440. Its totient is φ = 151493760.

The previous prime is 500033929. The next prime is 500033957. The reversal of 500033952 is 259330005.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (500033957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102153 + ... + 106935.

It is an arithmetic number, because the mean of its divisors is an integer number (11134760).

Almost surely, 2^500033952 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 500033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801702720).

500033952 is an abundant number, since it is smaller than the sum of its proper divisors (1103371488).

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

500033952 is a wasteful number, since it uses less digits than its factorization.

500033952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 500033952 is about 22361.4389519100. The cubic root of 500033952 is about 793.7184907243.

Adding to 500033952 its reverse (259330005), we get a palindrome (759363957).

The spelling of 500033952 in words is "five hundred million, thirty-three thousand, nine hundred fifty-two".