401059648 has 224 divisors, whose sum is σ = 1011253248. Its totient is φ = 155443200.

The previous prime is 401059643. The next prime is 401059651. The reversal of 401059648 is 846950104.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401059643) 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 31 ways as a sum of consecutive naturals, for example, 8533161 + ... + 8533207.

Almost surely, 2^401059648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505626624).

401059648 is an abundant number, since it is smaller than the sum of its proper divisors (610193600).

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

401059648 is a wasteful number, since it uses less digits than its factorization.

401059648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 401059648 is about 20026.4736786085. The cubic root of 401059648 is about 737.4563554752.

The spelling of 401059648 in words is "four hundred one million, fifty-nine thousand, six hundred forty-eight".