408125244 has 96 divisors (see below), whose sum is σ = 1041868800. Its totient is φ = 123897600.

The previous prime is 408125219. The next prime is 408125257. The reversal of 408125244 is 442521804.

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 31 ways as a sum of consecutive naturals, for example, 851797 + ... + 852275.

It is an arithmetic number, because the mean of its divisors is an integer number (10852800).

Almost surely, 2^408125244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408125244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

408125244 is an abundant number, since it is smaller than the sum of its proper divisors (633743556).

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

408125244 is a wasteful number, since it uses less digits than its factorization.

408125244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 408125244 is about 20202.1098898110. The cubic root of 408125244 is about 741.7618380135.

It can be divided in two parts, 40812 and 5244, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 408125244 in words is "four hundred eight million, one hundred twenty-five thousand, two hundred forty-four".