10400775 has 48 divisors (see below), whose sum is σ = 21451008. Its totient is φ = 4320000.

The previous prime is 10400759. The next prime is 10400777. The reversal of 10400775 is 57700401.

10400775 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10400775 - 2⁴ = 10400759 is a prime.

It is a super-2 number, since 2×10400775² = 216352241201250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4875 + ... + 6675.

It is an arithmetic number, because the mean of its divisors is an integer number (446896).

Almost surely, 2^10400775 is an apocalyptic number.

10400775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10400775 is an abundant number, since it is smaller than the sum of its proper divisors (11050233).

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

10400775 is a wasteful number, since it uses less digits than its factorization.

10400775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10400775 is about 3225.0232557301. The cubic root of 10400775 is about 218.2839984614.

It can be divided in two parts, 10400 and 775, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 10400775 in words is "ten million, four hundred thousand, seven hundred seventy-five".