10400810 has 32 divisors (see below), whose sum is σ = 22090752. Its totient is φ = 3450240.

The previous prime is 10400801. The next prime is 10400827. The reversal of 10400810 is 1800401.

It is a happy number.

10400810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400810² = 216353697312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227 + ... + 4566.

It is an arithmetic number, because the mean of its divisors is an integer number (690336).

Almost surely, 2^10400810 is an apocalyptic number.

10400810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400810 is an abundant number, since it is smaller than the sum of its proper divisors (11689942).

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

10400810 is a wasteful number, since it uses less digits than its factorization.

10400810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10400810 is about 3225.0286820430. The cubic root of 10400810 is about 218.2842433128.

The spelling of 10400810 in words is "ten million, four hundred thousand, eight hundred ten".