1561074400 has 144 divisors (see below), whose sum is σ = 4085925984. Its totient is φ = 580884480.

The previous prime is 1561074301. The next prime is 1561074401. The reversal of 1561074400 is 44701651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561074401) by changing a digit.

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, 679654 + ... + 681946.

It is an arithmetic number, because the mean of its divisors is an integer number (28374486).

Almost surely, 2^1561074400 is an apocalyptic number.

1561074400 is a gapful number since it is divisible by the number (10) 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 1561074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042962992).

1561074400 is an abundant number, since it is smaller than the sum of its proper divisors (2524851584).

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

1561074400 is a wasteful number, since it uses less digits than its factorization.

1561074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1561074400 is about 39510.4340649404. The cubic root of 1561074400 is about 1160.0441917370.

The spelling of 1561074400 in words is "one billion, five hundred sixty-one million, seventy-four thousand, four hundred".