408421332 has 96 divisors (see below), whose sum is σ = 1164656640. Its totient is φ = 122744160.

The previous prime is 408421331. The next prime is 408421333. The reversal of 408421332 is 233124804.

It is an interprime number because it is at equal distance from previous prime (408421331) and next prime (408421333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 408421296 and 408421305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408421331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 149523 + ... + 152229.

It is an arithmetic number, because the mean of its divisors is an integer number (12131840).

Almost surely, 2^408421332 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 408421332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582328320).

408421332 is an abundant number, since it is smaller than the sum of its proper divisors (756235308).

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

408421332 is a wasteful number, since it uses less digits than its factorization.

408421332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 408421332 is about 20209.4367066477. The cubic root of 408421332 is about 741.9411732314.

The spelling of 408421332 in words is "four hundred eight million, four hundred twenty-one thousand, three hundred thirty-two".