562016400 has 120 divisors (see below), whose sum is σ = 1964037984. Its totient is φ = 136243200.

The previous prime is 562016393. The next prime is 562016437. The reversal of 562016400 is 4610265.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8089 + ... + 34488.

Almost surely, 2^562016400 is an apocalyptic number.

562016400 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 562016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982018992).

562016400 is an abundant number, since it is smaller than the sum of its proper divisors (1402021584).

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

562016400 is a wasteful number, since it uses less digits than its factorization.

562016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42609 (or 42598 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 562016400 is about 23706.8850758593. The cubic root of 562016400 is about 825.2451796537.

Adding to 562016400 its reverse (4610265), we get a palindrome (566626665).

The spelling of 562016400 in words is "five hundred sixty-two million, sixteen thousand, four hundred".