9780408 has 96 divisors (see below), whose sum is σ = 29568240. Its totient is φ = 2895360.

The previous prime is 9780403. The next prime is 9780431. The reversal of 9780408 is 8040879.

9780408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41860 + ... + 42092.

Almost surely, 2^9780408 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 9780408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784120).

9780408 is an abundant number, since it is smaller than the sum of its proper divisors (19787832).

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

9780408 is a wasteful number, since it uses less digits than its factorization.

9780408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9780408 is about 3127.3643855490. The cubic root of 9780408 is about 213.8547942082.

The spelling of 9780408 in words is "nine million, seven hundred eighty thousand, four hundred eight".