401848128 has 280 divisors, whose sum is σ = 1349837280. Its totient is φ = 117573120.

The previous prime is 401848121. The next prime is 401848129. The reversal of 401848128 is 821848104.

It is a happy number.

It is a super-2 number, since 2×401848128² = 322963835954208768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 401848092 and 401848101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401848121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13856818 + ... + 13856846.

Almost surely, 2^401848128 is an apocalyptic number.

401848128 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 401848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674918640).

401848128 is an abundant number, since it is smaller than the sum of its proper divisors (947989152).

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

401848128 is an frugal number, since it uses more digits than its factorization.

401848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 401848128 is about 20046.1499545424. The cubic root of 401848128 is about 737.9393168426.

The spelling of 401848128 in words is "four hundred one million, eight hundred forty-eight thousand, one hundred twenty-eight".