408119040 has 432 divisors, whose sum is σ = 1691696160. Its totient is φ = 92897280.

The previous prime is 408119021. The next prime is 408119071. The reversal of 408119040 is 40911804.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×408119040² = 333122301621043200, which contains 22 as substring.

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 = 408118995 and 408119013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1693320 + ... + 1693560.

Almost surely, 2^408119040 is an apocalyptic number.

408119040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845848080).

408119040 is an abundant number, since it is smaller than the sum of its proper divisors (1283577120).

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

408119040 is a wasteful number, since it uses less digits than its factorization.

408119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 408119040 is about 20201.9563409092. The cubic root of 408119040 is about 741.7580794339.

The spelling of 408119040 in words is "four hundred eight million, one hundred nineteen thousand, forty".