516426240 has 160 divisors (see below), whose sum is σ = 1801331136. Its totient is φ = 125173760.

The previous prime is 516426139. The next prime is 516426247. The reversal of 516426240 is 42624615.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×516426240² = 533392122721075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 516426198 and 516426207.

It is not an unprimeable number, because it can be changed into a prime (516426247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81424 + ... + 87536.

Almost surely, 2^516426240 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 516426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900665568).

516426240 is an abundant number, since it is smaller than the sum of its proper divisors (1284904896).

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

516426240 is a wasteful number, since it uses less digits than its factorization.

516426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 516426240 is about 22725.0135313491. The cubic root of 516426240 is about 802.2987218542.

The spelling of 516426240 in words is "five hundred sixteen million, four hundred twenty-six thousand, two hundred forty".