561289400 has 96 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 191832960.

The previous prime is 561289397. The next prime is 561289423. The reversal of 561289400 is 4982165.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821459 + ... + 822141.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^561289400 is an apocalyptic number.

561289400 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 561289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

561289400 is an abundant number, since it is smaller than the sum of its proper divisors (934864840).

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

561289400 is a wasteful number, since it uses less digits than its factorization.

561289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 561289400 is about 23691.5470157607. The cubic root of 561289400 is about 824.8891923416.

The spelling of 561289400 in words is "five hundred sixty-one million, two hundred eighty-nine thousand, four hundred".