408591225 has 72 divisors (see below), whose sum is σ = 850749120. Its totient is φ = 183576960.

The previous prime is 408591221. The next prime is 408591233. The reversal of 408591225 is 522195804.

408591225 is a `hidden beast` number, since 40 + 8 + 591 + 2 + 25 = 666.

It is not a de Polignac number, because 408591225 - 2² = 408591221 is a prime.

It is a super-3 number, since 3×408591225³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408591225.

It is not an unprimeable number, because it can be changed into a prime (408591221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90727 + ... + 95123.

It is an arithmetic number, because the mean of its divisors is an integer number (11815960).

Almost surely, 2^408591225 is an apocalyptic number.

408591225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408591225 is an abundant number, since it is smaller than the sum of its proper divisors (442157895).

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

408591225 is a wasteful number, since it uses less digits than its factorization.

408591225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 408591225 is about 20213.6395782650. The cubic root of 408591225 is about 742.0440352581.

The spelling of 408591225 in words is "four hundred eight million, five hundred ninety-one thousand, two hundred twenty-five".