408363152 has 40 divisors (see below), whose sum is σ = 820360440. Its totient is φ = 196689920.

The previous prime is 408363149. The next prime is 408363167. The reversal of 408363152 is 251363804.

It can be written as a sum of positive squares in 4 ways, for example, as 280763536 + 127599616 = 16756^2 + 11296^2 .

It is a super-2 number, since 2×408363152² = 333520927822750208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296738 + ... + 298110.

It is an arithmetic number, because the mean of its divisors is an integer number (20509011).

Almost surely, 2^408363152 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 408363152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410180220).

408363152 is an abundant number, since it is smaller than the sum of its proper divisors (411997288).

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

408363152 is a wasteful number, since it uses less digits than its factorization.

408363152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 408363152 is about 20207.9972288201. The cubic root of 408363152 is about 741.9059414875.

The spelling of 408363152 in words is "four hundred eight million, three hundred sixty-three thousand, one hundred fifty-two".