500153040 has 120 divisors (see below), whose sum is σ = 1695356520. Its totient is φ = 132129792.

The previous prime is 500152967. The next prime is 500153047. The reversal of 500153040 is 40351005.

It can be written as a sum of positive squares in 4 ways, for example, as 159971904 + 340181136 = 12648^2 + 18444^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500153047) 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, 75294 + ... + 81666.

It is an arithmetic number, because the mean of its divisors is an integer number (14127971).

Almost surely, 2^500153040 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 500153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847678260).

500153040 is an abundant number, since it is smaller than the sum of its proper divisors (1195203480).

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

500153040 is a wasteful number, since it uses less digits than its factorization.

500153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 500153040 is about 22364.1015916133. The cubic root of 500153040 is about 793.7814963425.

The spelling of 500153040 in words is "five hundred million, one hundred fifty-three thousand, forty".