562676400 has 360 divisors, whose sum is σ = 2296113456. Its totient is φ = 125798400.

The previous prime is 562676369. The next prime is 562676419. The reversal of 562676400 is 4676265.

562676400 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×562676400² = 633209462233920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514254 + ... + 515346.

Almost surely, 2^562676400 is an apocalyptic number.

562676400 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 562676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148056728).

562676400 is an abundant number, since it is smaller than the sum of its proper divisors (1733437056).

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

562676400 is a wasteful number, since it uses less digits than its factorization.

562676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 562676400 is about 23720.8009982800. The cubic root of 562676400 is about 825.5680935704.

The spelling of 562676400 in words is "five hundred sixty-two million, six hundred seventy-six thousand, four hundred".