500955840 has 560 divisors, whose sum is σ = 2230550784. Its totient is φ = 103680000.

The previous prime is 500955823. The next prime is 500955883. The reversal of 500955840 is 48559005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 500955795 and 500955804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995715 + ... + 1995965.

Almost surely, 2^500955840 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 500955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115275392).

500955840 is an abundant number, since it is smaller than the sum of its proper divisors (1729594944).

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

500955840 is a wasteful number, since it uses less digits than its factorization.

500955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 500955840 is about 22382.0428022109. The cubic root of 500955840 is about 794.2059711781.

The spelling of 500955840 in words is "five hundred million, nine hundred fifty-five thousand, eight hundred forty".