563670400 has 96 divisors (see below), whose sum is σ = 1399185000. Its totient is φ = 224378880.

The previous prime is 563670391. The next prime is 563670409. The reversal of 563670400 is 4076365.

It is an interprime number because it is at equal distance from previous prime (563670391) and next prime (563670409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563670409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129351 + ... + 1129849.

Almost surely, 2^563670400 is an apocalyptic number.

563670400 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 563670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699592500).

563670400 is an abundant number, since it is smaller than the sum of its proper divisors (835514600).

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

563670400 is a wasteful number, since it uses less digits than its factorization.

563670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 563670400 is about 23741.7438281184. The cubic root of 563670400 is about 826.0539453186.

The spelling of 563670400 in words is "five hundred sixty-three million, six hundred seventy thousand, four hundred".