401940 has 144 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 80640.

The previous prime is 401939. The next prime is 401953. The reversal of 401940 is 49104.

401940 = 57² + 58² + ... + 111².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13846 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁴⁰¹⁹⁴⁰ 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 401940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

401940 is an abundant number, since it is smaller than the sum of its proper divisors (1170540).

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

401940 is a wasteful number, since it uses less digits than its factorization.

401940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401940 is about 633.9873815779. The cubic root of 401940 is about 73.7995549360.

Subtracting from 401940 its reverse (49104), we obtain a square (352836 = 594²).

The spelling of 401940 in words is "four hundred one thousand, nine hundred forty".