562496000 has 320 divisors, whose sum is σ = 1654608384. Its totient is φ = 188416000.

The previous prime is 562495993. The next prime is 562496057. The reversal of 562496000 is 694265.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11967977 + ... + 11968023.

Almost surely, 2^562496000 is an apocalyptic number.

562496000 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 562496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

562496000 is an abundant number, since it is smaller than the sum of its proper divisors (1092112384).

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

562496000 is a wasteful number, since it uses less digits than its factorization.

562496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 562496000 is about 23716.9981237087. The cubic root of 562496000 is about 825.4798555214.

The spelling of 562496000 in words is "five hundred sixty-two million, four hundred ninety-six thousand".