406348488 has 192 divisors, whose sum is σ = 1405272960. Its totient is φ = 107122176.

The previous prime is 406348487. The next prime is 406348519. The reversal of 406348488 is 884843604.

406348488 is a `hidden beast` number, since 4 + 0 + 634 + 8 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×406348488² = 330238187399772288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406348483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175756 + ... + 178052.

It is an arithmetic number, because the mean of its divisors is an integer number (7319130).

Almost surely, 2^406348488 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 406348488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702636480).

406348488 is an abundant number, since it is smaller than the sum of its proper divisors (998924472).

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

406348488 is a wasteful number, since it uses less digits than its factorization.

406348488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 406348488 is about 20158.0874092757. The cubic root of 406348488 is about 740.6838625865.

The spelling of 406348488 in words is "four hundred six million, three hundred forty-eight thousand, four hundred eighty-eight".