406009248 has 48 divisors (see below), whose sum is σ = 1112118336. Its totient is φ = 129451520.

The previous prime is 406009243. The next prime is 406009259. The reversal of 406009248 is 842900604.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (406009243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89733 + ... + 94148.

It is an arithmetic number, because the mean of its divisors is an integer number (23169132).

Almost surely, 2^406009248 is an apocalyptic number.

406009248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406009248 is an abundant number, since it is smaller than the sum of its proper divisors (706109088).

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

406009248 is a wasteful number, since it uses less digits than its factorization.

406009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183917 (or 183909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 406009248 is about 20149.6711635699. The cubic root of 406009248 is about 740.4776852473.

The spelling of 406009248 in words is "four hundred six million, nine thousand, two hundred forty-eight".