423577560 has 256 divisors, whose sum is σ = 1524096000. Its totient is φ = 94080000.

The previous prime is 423577541. The next prime is 423577571. The reversal of 423577560 is 65775324.

It is a Cunningham number, because it is equal to 20581²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1687435 + ... + 1687685.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^423577560 is an apocalyptic number.

423577560 is a gapful number since it is divisible by the number (40) 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 423577560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

423577560 is an abundant number, since it is smaller than the sum of its proper divisors (1100518440).

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

423577560 is a wasteful number, since it uses less digits than its factorization.

423577560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 423577560 is about 20580.9999757057. Note that the first 4 decimals coincide. The cubic root of 423577560 is about 751.0075702412.

The spelling of 423577560 in words is "four hundred twenty-three million, five hundred seventy-seven thousand, five hundred sixty".