405251152 has 40 divisors (see below), whose sum is σ = 836508960. Its totient is φ = 189636480.

The previous prime is 405251149. The next prime is 405251183. The reversal of 405251152 is 251152504.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17202 + ... + 33262.

It is an arithmetic number, because the mean of its divisors is an integer number (20912724).

Almost surely, 2^405251152 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 405251152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418254480).

405251152 is an abundant number, since it is smaller than the sum of its proper divisors (431257808).

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

405251152 is a wasteful number, since it uses less digits than its factorization.

405251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 405251152 is about 20130.8507520174. The cubic root of 405251152 is about 740.0165275101.

The spelling of 405251152 in words is "four hundred five million, two hundred fifty-one thousand, one hundred fifty-two".