408551040 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 104509440.

The previous prime is 408551027. The next prime is 408551051. The reversal of 408551040 is 40155804.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 408550995 and 408551013.

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, 5754205 + ... + 5754275.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^408551040 is an apocalyptic number.

408551040 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 408551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

408551040 is an abundant number, since it is smaller than the sum of its proper divisors (1115182080).

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

408551040 is an equidigital number, since it uses as much as digits as its factorization.

408551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 408551040 is about 20212.6455467858. The cubic root of 408551040 is about 742.0197077515.

The spelling of 408551040 in words is "four hundred eight million, five hundred fifty-one thousand, forty".