516545400 has 192 divisors, whose sum is σ = 1926662400. Its totient is φ = 111836160.

The previous prime is 516545383. The next prime is 516545401. The reversal of 516545400 is 4545615.

It is a super-2 number, since 2×516545400² = 533638300522320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516545401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76564 + ... + 83036.

It is an arithmetic number, because the mean of its divisors is an integer number (10034700).

Almost surely, 2^516545400 is an apocalyptic number.

516545400 is a gapful number since it is divisible by the number (50) 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 516545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963331200).

516545400 is an abundant number, since it is smaller than the sum of its proper divisors (1410117000).

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

516545400 is a wasteful number, since it uses less digits than its factorization.

516545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 516545400 is about 22727.6351607465. The cubic root of 516545400 is about 802.3604244790.

The spelling of 516545400 in words is "five hundred sixteen million, five hundred forty-five thousand, four hundred".