10407904 has 48 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 4741632.

The previous prime is 10407883. The next prime is 10407907. The reversal of 10407904 is 40970401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52734 + ... + 52930.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 2^10407904 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 10407904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

10407904 is an abundant number, since it is smaller than the sum of its proper divisors (11945504).

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

10407904 is a wasteful number, since it uses less digits than its factorization.

10407904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10407904 is about 3226.1283297476. The cubic root of 10407904 is about 218.3338598489. Note that the first 3 decimals are identical.

It can be divided in two parts, 10407 and 904, that added together give a palindrome (11311).

The spelling of 10407904 in words is "ten million, four hundred seven thousand, nine hundred four".