407888 has 40 divisors (see below), whose sum is σ = 890568. Its totient is φ = 179712.

The previous prime is 407879. The next prime is 407893. The reversal of 407888 is 888704.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 300304 = 328^2 + 548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7670 + ... + 7722.

2⁴⁰⁷⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

407888 is an abundant number, since it is smaller than the sum of its proper divisors (482680).

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

407888 is a wasteful number, since it uses less digits than its factorization.

407888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 407888 is about 638.6610994886. The cubic root of 407888 is about 74.1618080954.

Adding to 407888 its product of nonzero digits (14336), we get a palindrome (422224).

The spelling of 407888 in words is "four hundred seven thousand, eight hundred eighty-eight".