406482048 has 288 divisors, whose sum is σ = 1436058000. Its totient is φ = 109734912.

The previous prime is 406482047. The next prime is 406482061. The reversal of 406482048 is 840284604.

406482048 is a `hidden beast` number, since 4 + 0 + 648 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406482047) 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 35 ways as a sum of consecutive naturals, for example, 1072323 + ... + 1072701.

Almost surely, 2^406482048 is an apocalyptic number.

406482048 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 406482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718029000).

406482048 is an abundant number, since it is smaller than the sum of its proper divisors (1029575952).

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

406482048 is a wasteful number, since it uses less digits than its factorization.

406482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 406482048 is about 20161.3999513923. The cubic root of 406482048 is about 740.7650038591.

The spelling of 406482048 in words is "four hundred six million, four hundred eighty-two thousand, forty-eight".