10407204 has 84 divisors (see below), whose sum is σ = 28278096. Its totient is φ = 3347568.

The previous prime is 10407197. The next prime is 10407209. The reversal of 10407204 is 40270401.

It is a happy number.

10407204 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 (18).

It is not an unprimeable number, because it can be changed into a prime (10407209) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125347 + ... + 125429.

It is an arithmetic number, because the mean of its divisors is an integer number (336644).

Almost surely, 2^10407204 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 10407204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139048).

10407204 is an abundant number, since it is smaller than the sum of its proper divisors (17870892).

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

10407204 is an equidigital number, since it uses as much as digits as its factorization.

10407204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10407204 is about 3226.0198387487. The cubic root of 10407204 is about 218.3289649431.

Adding to 10407204 its reverse (40270401), we get a palindrome (50677605).

The spelling of 10407204 in words is "ten million, four hundred seven thousand, two hundred four".