408167424 has 440 divisors, whose sum is σ = 1505936960. Its totient is φ = 107495424.

The previous prime is 408167351. The next prime is 408167429. The reversal of 408167424 is 424761804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408167429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11031534 + ... + 11031570.

It is an arithmetic number, because the mean of its divisors is an integer number (3422584).

Almost surely, 2^408167424 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 408167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752968480).

408167424 is an abundant number, since it is smaller than the sum of its proper divisors (1097769536).

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

408167424 is a wasteful number, since it uses less digits than its factorization.

408167424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 408167424 is about 20203.1538132045. The cubic root of 408167424 is about 741.7873909837.

The spelling of 408167424 in words is "four hundred eight million, one hundred sixty-seven thousand, four hundred twenty-four".