10405440 has 84 divisors (see below), whose sum is σ = 35800284. Its totient is φ = 2774016.

The previous prime is 10405427. The next prime is 10405459. The reversal of 10405440 is 4450401.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 9290304 = 1056^2 + 3048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1074 + ... + 4686.

Almost surely, 2^10405440 is an apocalyptic number.

10405440 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 10405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900142).

10405440 is an abundant number, since it is smaller than the sum of its proper divisors (25394844).

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

10405440 is a wasteful number, since it uses less digits than its factorization.

10405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10405440 is about 3225.7464252480. The cubic root of 10405440 is about 218.3166288070.

Adding to 10405440 its reverse (4450401), we get a palindrome (14855841).

It can be divided in two parts, 10 and 405440, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 10405440 in words is "ten million, four hundred five thousand, four hundred forty".