405385152 has 112 divisors (see below), whose sum is σ = 1106058240. Its totient is φ = 130972672.

The previous prime is 405385151. The next prime is 405385153. The reversal of 405385152 is 251583504.

It is an interprime number because it is at equal distance from previous prime (405385151) and next prime (405385153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405385151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1506874 + ... + 1507142.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 2^405385152 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 405385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

405385152 is an abundant number, since it is smaller than the sum of its proper divisors (700673088).

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

405385152 is a wasteful number, since it uses less digits than its factorization.

405385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 405385152 is about 20134.1787018989. The cubic root of 405385152 is about 740.0980829328.

The spelling of 405385152 in words is "four hundred five million, three hundred eighty-five thousand, one hundred fifty-two".