406782048 has 48 divisors (see below), whose sum is σ = 1114235136. Its totient is φ = 129697920.

The previous prime is 406782041. The next prime is 406782053. The reversal of 406782048 is 840287604.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 406781997 and 406782015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406782041) 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, 89908 + ... + 94323.

It is an arithmetic number, because the mean of its divisors is an integer number (23213232).

Almost surely, 2^406782048 is an apocalyptic number.

406782048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406782048 is an abundant number, since it is smaller than the sum of its proper divisors (707453088).

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

406782048 is a wasteful number, since it uses less digits than its factorization.

406782048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184267 (or 184259 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 406782048 is about 20168.8385386963. The cubic root of 406782048 is about 740.9471971058.

The spelling of 406782048 in words is "four hundred six million, seven hundred eighty-two thousand, forty-eight".