561372000 has 384 divisors, whose sum is σ = 2166248448. Its totient is φ = 124416000.

The previous prime is 561371989. The next prime is 561372013. The reversal of 561372000 is 273165.

561372000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443919 + ... + 3444081.

It is an arithmetic number, because the mean of its divisors is an integer number (5641272).

Almost surely, 2^561372000 is an apocalyptic number.

561372000 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 561372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083124224).

561372000 is an abundant number, since it is smaller than the sum of its proper divisors (1604876448).

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

561372000 is a wasteful number, since it uses less digits than its factorization.

561372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 561372000 is about 23693.2901894186. The cubic root of 561372000 is about 824.9296542407.

The spelling of 561372000 in words is "five hundred sixty-one million, three hundred seventy-two thousand".