408385152 has 320 divisors, whose sum is σ = 1475115840. Its totient is φ = 109486080.

The previous prime is 408385151. The next prime is 408385181. The reversal of 408385152 is 251583804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408385151) 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 39 ways as a sum of consecutive naturals, for example, 1233627 + ... + 1233957.

It is an arithmetic number, because the mean of its divisors is an integer number (4609737).

Almost surely, 2^408385152 is an apocalyptic number.

408385152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737557920).

408385152 is an abundant number, since it is smaller than the sum of its proper divisors (1066730688).

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

408385152 is a wasteful number, since it uses less digits than its factorization.

408385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 408385152 is about 20208.5415604392. The cubic root of 408385152 is about 741.9192643004.

The spelling of 408385152 in words is "four hundred eight million, three hundred eighty-five thousand, one hundred fifty-two".