513726840 has 256 divisors, whose sum is σ = 1894233600. Its totient is φ = 122803200.

The previous prime is 513726799. The next prime is 513726853. The reversal of 513726840 is 48627315.

It is a super-2 number, since 2×513726840² = 527830532272771200, which contains 22 as substring.

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 = 513726795 and 513726804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985780 + ... + 986300.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2^513726840 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 513726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947116800).

513726840 is an abundant number, since it is smaller than the sum of its proper divisors (1380506760).

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

513726840 is a wasteful number, since it uses less digits than its factorization.

513726840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 513726840 is about 22665.5430113642. The cubic root of 513726840 is about 800.8983865826.

The spelling of 513726840 in words is "five hundred thirteen million, seven hundred twenty-six thousand, eight hundred forty".