406506288 has 40 divisors (see below), whose sum is σ = 1051470400. Its totient is φ = 135330624.

The previous prime is 406506281. The next prime is 406506293. The reversal of 406506288 is 882605604.

It is not an unprimeable number, because it can be changed into a prime (406506281) 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 7 ways as a sum of consecutive naturals, for example, 36303 + ... + 46161.

It is an arithmetic number, because the mean of its divisors is an integer number (26286760).

Almost surely, 2^406506288 is an apocalyptic number.

406506288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406506288 is an abundant number, since it is smaller than the sum of its proper divisors (644964112).

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

406506288 is a wasteful number, since it uses less digits than its factorization.

406506288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 406506288 is about 20162.0010911616. The cubic root of 406506288 is about 740.7797284017.

The spelling of 406506288 in words is "four hundred six million, five hundred six thousand, two hundred eighty-eight".