516363444 has 96 divisors (see below), whose sum is σ = 1398096000. Its totient is φ = 164602368.

The previous prime is 516363443. The next prime is 516363461. The reversal of 516363444 is 444363615.

516363444 is a `hidden beast` number, since 5 + 16 + 3 + 634 + 4 + 4 = 666.

It is a super-2 number, since 2×516363444² = 533262412599082272, 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 = 516363399 and 516363408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516363443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353187 + ... + 354645.

It is an arithmetic number, because the mean of its divisors is an integer number (14563500).

Almost surely, 2^516363444 is an apocalyptic number.

516363444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516363444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048000).

516363444 is an abundant number, since it is smaller than the sum of its proper divisors (881732556).

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

516363444 is a wasteful number, since it uses less digits than its factorization.

516363444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 516363444 is about 22723.6318400030. The cubic root of 516363444 is about 802.2662014355.

The spelling of 516363444 in words is "five hundred sixteen million, three hundred sixty-three thousand, four hundred forty-four".