400577 has 8 divisors (see below), whose sum is σ = 436800. Its totient is φ = 365904.

The previous prime is 400559. The next prime is 400579. The reversal of 400577 is 775004.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400577 - 2⁸ = 400321 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400577.

It is not an unprimeable number, because it can be changed into a prime (400579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2⁴⁰⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

400577 is a deficient number, since it is larger than the sum of its proper divisors (36223).

400577 is a wasteful number, since it uses less digits than its factorization.

400577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

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

The square root of 400577 is about 632.9115262025. The cubic root of 400577 is about 73.7160410543.

The spelling of 400577 in words is "four hundred thousand, five hundred seventy-seven".