401648 has 20 divisors (see below), whose sum is σ = 838488. Its totient is φ = 185280.

The previous prime is 401629. The next prime is 401651. The reversal of 401648 is 846104.

It is a happy number.

It is a super-2 number, since 2×401648² = 322642231808, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

401648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758 + ... + 1173.

2⁴⁰¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

401648 is an abundant number, since it is smaller than the sum of its proper divisors (436840).

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

401648 is a wasteful number, since it uses less digits than its factorization.

401648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 401648 is about 633.7570512428. The cubic root of 401648 is about 73.7816793902.

The spelling of 401648 in words is "four hundred one thousand, six hundred forty-eight".