10408410 has 48 divisors (see below), whose sum is σ = 27335880. Its totient is φ = 2747520.

The previous prime is 10408399. The next prime is 10408421. The reversal of 10408410 is 1480401.

It is an interprime number because it is at equal distance from previous prime (10408399) and next prime (10408421).

It can be written as a sum of positive squares in 4 ways, for example, as 9603801 + 804609 = 3099^2 + 897^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9280 + ... + 10340.

Almost surely, 2^10408410 is an apocalyptic number.

10408410 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 10408410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667940).

10408410 is an abundant number, since it is smaller than the sum of its proper divisors (16927470).

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

10408410 is a wasteful number, since it uses less digits than its factorization.

10408410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10408410 is about 3226.2067509693. The cubic root of 10408410 is about 218.3373980299.

Adding to 10408410 its reverse (1480401), we get a palindrome (11888811).

The spelling of 10408410 in words is "ten million, four hundred eight thousand, four hundred ten".