9010408 has 64 divisors (see below), whose sum is σ = 20606400. Its totient is φ = 3640320.

The previous prime is 9010399. The next prime is 9010409. The reversal of 9010408 is 8040109.

9010408 is digitally balanced in base 2, because in such base 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 (22).

It is not an unprimeable number, because it can be changed into a prime (9010409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28266 + ... + 28582.

It is an arithmetic number, because the mean of its divisors is an integer number (321975).

Almost surely, 2^9010408 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 9010408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10303200).

9010408 is an abundant number, since it is smaller than the sum of its proper divisors (11595992).

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

9010408 is a wasteful number, since it uses less digits than its factorization.

9010408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 9010408 is about 3001.7341654450. The cubic root of 9010408 is about 208.0885347952.

Subtracting from 9010408 its reverse (8040109), we obtain a cube (970299 = 99³).

The spelling of 9010408 in words is "nine million, ten thousand, four hundred eight".