404271648 has 180 divisors, whose sum is σ = 1307878110. Its totient is φ = 122411520.

The previous prime is 404271641. The next prime is 404271671. The reversal of 404271648 is 846172404.

404271648 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 7 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289952784 + 114318864 = 17028^2 + 10692^2 .

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 (404271641) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 312988 + ... + 314276.

Almost surely, 2^404271648 is an apocalyptic number.

404271648 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 404271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653939055).

404271648 is an abundant number, since it is smaller than the sum of its proper divisors (903606462).

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

404271648 is a wasteful number, since it uses less digits than its factorization.

404271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 404271648 is about 20106.5076032612. The cubic root of 404271648 is about 739.4198325761.

The spelling of 404271648 in words is "four hundred four million, two hundred seventy-one thousand, six hundred forty-eight".