406474848 has 144 divisors (see below), whose sum is σ = 1291255056. Its totient is φ = 125038080.

The previous prime is 406474819. The next prime is 406474889. The reversal of 406474848 is 848474604.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99078 + ... + 103098.

It is an arithmetic number, because the mean of its divisors is an integer number (8967049).

Almost surely, 2^406474848 is an apocalyptic number.

406474848 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 406474848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645627528).

406474848 is an abundant number, since it is smaller than the sum of its proper divisors (884780208).

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

406474848 is a wasteful number, since it uses less digits than its factorization.

406474848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 406474848 is about 20161.2213915725. The cubic root of 406474848 is about 740.7606301198.

The spelling of 406474848 in words is "four hundred six million, four hundred seventy-four thousand, eight hundred forty-eight".