10406430 has 48 divisors (see below), whose sum is σ = 27696240. Its totient is φ = 2709504.

The previous prime is 10406423. The next prime is 10406443. The reversal of 10406430 is 3460401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (577005).

Almost surely, 2^10406430 is an apocalyptic number.

10406430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848120).

10406430 is an abundant number, since it is smaller than the sum of its proper divisors (17289810).

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

10406430 is a wasteful number, since it uses less digits than its factorization.

10406430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10406430 is about 3225.8998744536. The cubic root of 10406430 is about 218.3235523203.

Adding to 10406430 its reverse (3460401), we get a palindrome (13866831).

The spelling of 10406430 in words is "ten million, four hundred six thousand, four hundred thirty".