562646400 has 384 divisors, whose sum is σ = 2003443200. Its totient is φ = 138485760.

The previous prime is 562646393. The next prime is 562646407. The reversal of 562646400 is 4646265.

It is an interprime number because it is at equal distance from previous prime (562646393) and next prime (562646407).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562646407) 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, 11971177 + ... + 11971223.

It is an arithmetic number, because the mean of its divisors is an integer number (5217300).

Almost surely, 2^562646400 is an apocalyptic number.

562646400 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 562646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001721600).

562646400 is an abundant number, since it is smaller than the sum of its proper divisors (1440796800).

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

562646400 is a wasteful number, since it uses less digits than its factorization.

562646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 562646400 is about 23720.1686334646. The cubic root of 562646400 is about 825.5534211448.

The spelling of 562646400 in words is "five hundred sixty-two million, six hundred forty-six thousand, four hundred".