408401136 has 240 divisors, whose sum is σ = 1389945760. Its totient is φ = 114048000.

The previous prime is 408401111. The next prime is 408401167. The reversal of 408401136 is 631104804.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679236 + ... + 679836.

Almost surely, 2^408401136 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 408401136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694972880).

408401136 is an abundant number, since it is smaller than the sum of its proper divisors (981544624).

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

408401136 is a wasteful number, since it uses less digits than its factorization.

408401136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 408401136 is about 20208.9370329070. The cubic root of 408401136 is about 741.9289436295.

The spelling of 408401136 in words is "four hundred eight million, four hundred one thousand, one hundred thirty-six".