513223440 has 160 divisors (see below), whose sum is σ = 1732924800. Its totient is φ = 125153280.

The previous prime is 513223427. The next prime is 513223457. The reversal of 513223440 is 44322315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513223440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130300 + ... + 134180.

It is an arithmetic number, because the mean of its divisors is an integer number (10830780).

Almost surely, 2^513223440 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 513223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866462400).

513223440 is an abundant number, since it is smaller than the sum of its proper divisors (1219701360).

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

513223440 is a wasteful number, since it uses less digits than its factorization.

513223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 513223440 is about 22654.4353273261. The cubic root of 513223440 is about 800.6367014630.

Adding to 513223440 its reverse (44322315), we get a palindrome (557545755).

The spelling of 513223440 in words is "five hundred thirteen million, two hundred twenty-three thousand, four hundred forty".