406607088 has 80 divisors (see below), whose sum is σ = 1118740896. Its totient is φ = 126812160.

The previous prime is 406607081. The next prime is 406607099. The reversal of 406607088 is 880706604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406607081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146320 + ... + 149072.

Almost surely, 2^406607088 is an apocalyptic number.

406607088 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 406607088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559370448).

406607088 is an abundant number, since it is smaller than the sum of its proper divisors (712133808).

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

406607088 is a wasteful number, since it uses less digits than its factorization.

406607088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 406607088 is about 20164.5006880904. The cubic root of 406607088 is about 740.8409528959.

The spelling of 406607088 in words is "four hundred six million, six hundred seven thousand, eighty-eight".