516221440 has 80 divisors (see below), whose sum is σ = 1414588032. Its totient is φ = 176984064.

The previous prime is 516221437. The next prime is 516221441. The reversal of 516221440 is 44122615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (516221441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3517 + ... + 32323.

Almost surely, 2^516221440 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 516221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707294016).

516221440 is an abundant number, since it is smaller than the sum of its proper divisors (898366592).

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

516221440 is an equidigital number, since it uses as much as digits as its factorization.

516221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 516221440 is about 22720.5070365958. The cubic root of 516221440 is about 802.1926515253.

The spelling of 516221440 in words is "five hundred sixteen million, two hundred twenty-one thousand, four hundred forty".