512491840 has 112 divisors (see below), whose sum is σ = 1408176000. Its totient is φ = 174016512.

The previous prime is 512491831. The next prime is 512491891. The reversal of 512491840 is 48194215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 512491796 and 512491805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243111 + ... + 245209.

It is an arithmetic number, because the mean of its divisors is an integer number (12573000).

Almost surely, 2^512491840 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 512491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088000).

512491840 is an abundant number, since it is smaller than the sum of its proper divisors (895684160).

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

512491840 is a wasteful number, since it uses less digits than its factorization.

512491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 512491840 is about 22638.2826203756. The cubic root of 512491840 is about 800.2560846837.

The spelling of 512491840 in words is "five hundred twelve million, four hundred ninety-one thousand, eight hundred forty".