412050144 has 48 divisors (see below), whose sum is σ = 1179964800. Its totient is φ = 124863360.

The previous prime is 412050077. The next prime is 412050157. The reversal of 412050144 is 441050214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 412050144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 194044 + ... + 196155.

It is an arithmetic number, because the mean of its divisors is an integer number (24582600).

Almost surely, 2^412050144 is an apocalyptic number.

412050144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412050144 is an abundant number, since it is smaller than the sum of its proper divisors (767914656).

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

412050144 is a wasteful number, since it uses less digits than its factorization.

412050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390223 (or 390215 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 412050144 is about 20299.0183013859. The cubic root of 412050144 is about 744.1320727495.

The spelling of 412050144 in words is "four hundred twelve million, fifty thousand, one hundred forty-four".