405252144 has 60 divisors (see below), whose sum is σ = 1237251912. Its totient is φ = 122803200.

The previous prime is 405252143. The next prime is 405252187. The reversal of 405252144 is 441252504.

405252144 is a `hidden beast` number, since 405 + 252 + 1 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (405252143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 126337 + ... + 129504.

Almost surely, 2^405252144 is an apocalyptic number.

405252144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405252144 is an abundant number, since it is smaller than the sum of its proper divisors (831999768).

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

405252144 is a wasteful number, since it uses less digits than its factorization.

405252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255866 (or 255857 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 405252144 is about 20130.8753908021. The cubic root of 405252144 is about 740.0171313297.

The spelling of 405252144 in words is "four hundred five million, two hundred fifty-two thousand, one hundred forty-four".