578972100 has 144 divisors (see below), whose sum is σ = 1997872128. Its totient is φ = 126572160.

The previous prime is 578972087. The next prime is 578972117. The reversal of 578972100 is 1279875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42307 + ... + 54293.

It is an arithmetic number, because the mean of its divisors is an integer number (13874112).

Almost surely, 2^578972100 is an apocalyptic number.

578972100 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 578972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998936064).

578972100 is an abundant number, since it is smaller than the sum of its proper divisors (1418900028).

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

578972100 is a wasteful number, since it uses less digits than its factorization.

578972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 578972100 is about 24061.8390818325. The cubic root of 578972100 is about 833.4621436440.

The spelling of 578972100 in words is "five hundred seventy-eight million, nine hundred seventy-two thousand, one hundred".