10400496 has 40 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 3385536.

The previous prime is 10400491. The next prime is 10400501. The reversal of 10400496 is 69400401.

It is an interprime number because it is at equal distance from previous prime (10400491) and next prime (10400501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 456 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^10400496 is an apocalyptic number.

10400496 is a gapful number since it is divisible by the number (16) 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 10400496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

10400496 is an abundant number, since it is smaller than the sum of its proper divisors (17097744).

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

10400496 is a wasteful number, since it uses less digits than its factorization.

10400496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10400496 is about 3224.9799999380. The cubic root of 10400496 is about 218.2820466267.

Adding to 10400496 its reverse (69400401), we get a palindrome (79800897).

The spelling of 10400496 in words is "ten million, four hundred thousand, four hundred ninety-six".