400775 has 24 divisors (see below), whose sum is σ = 562464. Its totient is φ = 281600.

The previous prime is 400759. The next prime is 400823. The reversal of 400775 is 577004.

400775 = T₁₁ + T₁₂ + ... + T₁₃₃.

It is a happy number.

It is not a de Polignac number, because 400775 - 2⁴ = 400759 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400775.

It is a congruent 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, 9755 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁴⁰⁰⁷⁷⁵ is an apocalyptic number.

400775 is a deficient number, since it is larger than the sum of its proper divisors (161689).

400775 is a wasteful number, since it uses less digits than its factorization.

400775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 400775 is about 633.0679268451. The cubic root of 400775 is about 73.7281846805.

Adding to 400775 its reverse (577004), we get a palindrome (977779).

The spelling of 400775 in words is "four hundred thousand, seven hundred seventy-five".