401409648 has 120 divisors (see below), whose sum is σ = 1198621200. Its totient is φ = 128467584.

The previous prime is 401409641. The next prime is 401409649. The reversal of 401409648 is 846904104.

It is a happy number.

401409648 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 9 + 648 = 666.

It is a super-2 number, since 2×401409648² = 322259411014967808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401409641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242423 + ... + 2242601.

It is an arithmetic number, because the mean of its divisors is an integer number (9988510).

Almost surely, 2^401409648 is an apocalyptic number.

401409648 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 401409648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599310600).

401409648 is an abundant number, since it is smaller than the sum of its proper divisors (797211552).

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

401409648 is a wasteful number, since it uses less digits than its factorization.

401409648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 401409648 is about 20035.2102060348. The cubic root of 401409648 is about 737.6708162410.

The spelling of 401409648 in words is "four hundred one million, four hundred nine thousand, six hundred forty-eight".