516072448 has 88 divisors (see below), whose sum is σ = 1083714552. Its totient is φ = 245366784.

The previous prime is 516072437. The next prime is 516072493. The reversal of 516072448 is 844270615.

It can be written as a sum of positive squares in 4 ways, for example, as 394896384 + 121176064 = 19872^2 + 11008^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2007936 + ... + 2008192.

Almost surely, 2^516072448 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 516072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541857276).

516072448 is an abundant number, since it is smaller than the sum of its proper divisors (567642104).

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

516072448 is a wasteful number, since it uses less digits than its factorization.

516072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 516072448 is about 22717.2279999123. The cubic root of 516072448 is about 802.1154677312.

It can be divided in two parts, 516072 and 448, that multiplied together give a triangular number (231200256 = T₂₁₅₀₃).

The spelling of 516072448 in words is "five hundred sixteen million, seventy-two thousand, four hundred forty-eight".