10410400 has 216 divisors, whose sum is σ = 34310304. Its totient is φ = 2995200.

The previous prime is 10410397. The next prime is 10410403. The reversal of 10410400 is 401401.

10410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10410397) and next prime (10410403).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800794 + ... + 800806.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 2^10410400 is an apocalyptic number.

10410400 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 10410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

10410400 is an abundant number, since it is smaller than the sum of its proper divisors (23899904).

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

10410400 is a wasteful number, since it uses less digits than its factorization.

10410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10410400 is about 3226.5151479576. The cubic root of 10410400 is about 218.3513118980.

Adding to 10410400 its reverse (401401), we get a palindrome (10811801).

It can be divided in two parts, 104 and 10400, that multiplied together give a square (1081600 = 1040²).

The spelling of 10410400 in words is "ten million, four hundred ten thousand, four hundred".