401950848 has 128 divisors (see below), whose sum is σ = 1166618880. Its totient is φ = 121872384.

The previous prime is 401950847. The next prime is 401950853. The reversal of 401950848 is 848059104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (401950847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363865 + ... + 364967.

It is an arithmetic number, because the mean of its divisors is an integer number (9114210).

Almost surely, 2^401950848 is an apocalyptic number.

401950848 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 401950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583309440).

401950848 is an abundant number, since it is smaller than the sum of its proper divisors (764668032).

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

401950848 is a wasteful number, since it uses less digits than its factorization.

401950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 401950848 is about 20048.7118788215. The cubic root of 401950848 is about 738.0021885791.

The spelling of 401950848 in words is "four hundred one million, nine hundred fifty thousand, eight hundred forty-eight".