407088 has 60 divisors (see below), whose sum is σ = 1247688. Its totient is φ = 122880.

The previous prime is 407083. The next prime is 407119. The reversal of 407088 is 880704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407083) by changing a digit.

407088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1456 + ... + 1712.

2⁴⁰⁷⁰⁸⁸ is an apocalyptic number.

407088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623844).

407088 is an abundant number, since it is smaller than the sum of its proper divisors (840600).

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

407088 is a wasteful number, since it uses less digits than its factorization.

407088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 407088 is about 638.0344818268. The cubic root of 407088 is about 74.1132912829.

The spelling of 407088 in words is "four hundred seven thousand, eighty-eight".