408924061 has 72 divisors (see below), whose sum is σ = 570784320. Its totient is φ = 290594304.

The previous prime is 408924059. The next prime is 408924067. The reversal of 408924061 is 160429804.

It is not a de Polignac number, because 408924061 - 2¹ = 408924059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408924067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3618741 + ... + 3618853.

It is an arithmetic number, because the mean of its divisors is an integer number (7927560).

Almost surely, 2^408924061 is an apocalyptic number.

It is an amenable number.

408924061 is a deficient number, since it is larger than the sum of its proper divisors (161860259).

408924061 is a wasteful number, since it uses less digits than its factorization.

408924061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 408924061 is about 20221.8708580586. The cubic root of 408924061 is about 742.2454688027.

The spelling of 408924061 in words is "four hundred eight million, nine hundred twenty-four thousand, sixty-one".