562314880 has 128 divisors (see below), whose sum is σ = 1429876800. Its totient is φ = 210862080.

The previous prime is 562314847. The next prime is 562314881. The reversal of 562314880 is 88413265.

It is a happy number.

562314880 is a nontrivial binomial coefficient, being equal to C(33536, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (562314881) 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, 1592784 + ... + 1593136.

Almost surely, 2^562314880 is an apocalyptic number.

562314880 is the 33535-th triangular number and also the 16768-th hexagonal number.

562314880 is the 11179-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714938400).

562314880 is an abundant number, since it is smaller than the sum of its proper divisors (867561920).

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

562314880 is a wasteful number, since it uses less digits than its factorization.

562314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 562314880 is about 23713.1794578458. The cubic root of 562314880 is about 825.3912463215.

It can be divided in two parts, 5623 and 14880, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 562314880 in words is "five hundred sixty-two million, three hundred fourteen thousand, eight hundred eighty".