561431304 has 128 divisors (see below), whose sum is σ = 1876224000. Its totient is φ = 151958592.

The previous prime is 561431287. The next prime is 561431369. The reversal of 561431304 is 403134165.

It is a super-2 number, since 2×561431304² = 630410218222280832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18957 + ... + 38499.

It is an arithmetic number, because the mean of its divisors is an integer number (14658000).

Almost surely, 2^561431304 is an apocalyptic number.

561431304 is a gapful number since it is divisible by the number (54) 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 561431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938112000).

561431304 is an abundant number, since it is smaller than the sum of its proper divisors (1314792696).

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

561431304 is a wasteful number, since it uses less digits than its factorization.

561431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19584 (or 19574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 561431304 is about 23694.5416499244. The cubic root of 561431304 is about 824.9587020650.

Adding to 561431304 its reverse (403134165), we get a palindrome (964565469).

The spelling of 561431304 in words is "five hundred sixty-one million, four hundred thirty-one thousand, three hundred four".