10438440 has 64 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 2707200.

The previous prime is 10438427. The next prime is 10438447. The reversal of 10438440 is 4483401.

10438440 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 super-2 number, since 2×10438440² = 217922059267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10438440.

It is not an unprimeable number, because it can be changed into a prime (10438447) 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, 3265 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^10438440 is an apocalyptic number.

10438440 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 10438440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10438440 is an abundant number, since it is smaller than the sum of its proper divisors (21736920).

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

10438440 is a wasteful number, since it uses less digits than its factorization.

10438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 10438440 is about 3230.8574713224. The cubic root of 10438440 is about 218.5471763550.

It can be divided in two parts, 10438 and 440, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10438440 in words is "ten million, four hundred thirty-eight thousand, four hundred forty".