401088 has 28 divisors (see below), whose sum is σ = 1061720. Its totient is φ = 133632.

The previous prime is 401087. The next prime is 401101. The reversal of 401088 is 880104.

It is not an unprimeable number, because it can be changed into a prime (401087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 853 + ... + 1236.

2⁴⁰¹⁰⁸⁸ is an apocalyptic number.

401088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401088 is an abundant number, since it is smaller than the sum of its proper divisors (660632).

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

401088 is a wasteful number, since it uses less digits than its factorization.

401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 401088 is about 633.3150874565. The cubic root of 401088 is about 73.7473732666.

It can be divided in two parts, 40 and 1088, that added together give a triangular number (1128 = T₄₇).

The spelling of 401088 in words is "four hundred one thousand, eighty-eight".