562305408 has 128 divisors (see below), whose sum is σ = 1739646720. Its totient is φ = 157587456.

The previous prime is 562305407. The next prime is 562305433. The reversal of 562305408 is 804503265.

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

It is a super-3 number, since 3×562305408³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562305407) 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, 140491 + ... + 144437.

It is an arithmetic number, because the mean of its divisors is an integer number (13590990).

Almost surely, 2^562305408 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 562305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869823360).

562305408 is an abundant number, since it is smaller than the sum of its proper divisors (1177341312).

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

562305408 is a wasteful number, since it uses less digits than its factorization.

562305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 562305408 is about 23712.9797368445. The cubic root of 562305408 is about 825.3866118186.

The spelling of 562305408 in words is "five hundred sixty-two million, three hundred five thousand, four hundred eight".