42450408 has 384 divisors, whose sum is σ = 167731200. Its totient is φ = 9331200.

The previous prime is 42450391. The next prime is 42450451. The reversal of 42450408 is 80405424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369353 + ... + 1369383.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^42450408 is an apocalyptic number.

42450408 is the 3762-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42450408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

42450408 is an abundant number, since it is smaller than the sum of its proper divisors (125280792).

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

42450408 is a wasteful number, since it uses less digits than its factorization.

42450408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42450408 is about 6515.3977622245. The cubic root of 42450408 is about 348.8408126710.

The spelling of 42450408 in words is "forty-two million, four hundred fifty thousand, four hundred eight".