401003988 has 96 divisors (see below), whose sum is σ = 1217341440. Its totient is φ = 99623040.

The previous prime is 401003971. The next prime is 401004001. The reversal of 401003988 is 889300104.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11818 + ... + 30686.

It is an arithmetic number, because the mean of its divisors is an integer number (12680640).

Almost surely, 2^401003988 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 401003988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608670720).

401003988 is an abundant number, since it is smaller than the sum of its proper divisors (816337452).

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

401003988 is a wasteful number, since it uses less digits than its factorization.

401003988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18917 (or 18915 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 401003988 is about 20025.0839698614. The cubic root of 401003988 is about 737.4222385885.

The spelling of 401003988 in words is "four hundred one million, three thousand, nine hundred eighty-eight".