408628440 has 192 divisors, whose sum is σ = 1525305600. Its totient is φ = 93830400.

The previous prime is 408628417. The next prime is 408628471. The reversal of 408628440 is 44826804.

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

It is a junction number, because it is equal to n+sod(n) for n = 408628395 and 408628404.

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, 72525 + ... + 77955.

It is an arithmetic number, because the mean of its divisors is an integer number (7944300).

Almost surely, 2^408628440 is an apocalyptic number.

408628440 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 408628440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762652800).

408628440 is an abundant number, since it is smaller than the sum of its proper divisors (1116677160).

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

408628440 is a wasteful number, since it uses less digits than its factorization.

408628440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 408628440 is about 20214.5600990969. The cubic root of 408628440 is about 742.0665633405.

The spelling of 408628440 in words is "four hundred eight million, six hundred twenty-eight thousand, four hundred forty".