10429380 has 72 divisors (see below), whose sum is σ = 34076952. Its totient is φ = 2566656.

The previous prime is 10429379. The next prime is 10429387. The reversal of 10429380 is 8392401.

10429380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 9884736 = 738^2 + 3144^2 .

It is not an unprimeable number, because it can be changed into a prime (10429387) 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, 112 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (473291).

Almost surely, 2^10429380 is an apocalyptic number.

10429380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038476).

10429380 is an abundant number, since it is smaller than the sum of its proper divisors (23647572).

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

10429380 is a wasteful number, since it uses less digits than its factorization.

10429380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10429380 is about 3229.4550623906. The cubic root of 10429380 is about 218.4839290196.

The spelling of 10429380 in words is "ten million, four hundred twenty-nine thousand, three hundred eighty".