401061648 has 160 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 115734528.

The previous prime is 401061629. The next prime is 401061659. The reversal of 401061648 is 846160104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669253 + ... + 669851.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^401061648 is an apocalyptic number.

401061648 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 401061648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

401061648 is an abundant number, since it is smaller than the sum of its proper divisors (786362352).

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

401061648 is a wasteful number, since it uses less digits than its factorization.

401061648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 401061648 is about 20026.5236124496. The cubic root of 401061648 is about 737.4575813197.

The spelling of 401061648 in words is "four hundred one million, sixty-one thousand, six hundred forty-eight".