401960 has 32 divisors (see below), whose sum is σ = 975240. Its totient is φ = 148224.

The previous prime is 401959. The next prime is 401981. The reversal of 401960 is 69104.

401960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145924 + 256036 = 382^2 + 506^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134 + ... + 906.

2⁴⁰¹⁹⁶⁰ is an apocalyptic number.

401960 is a gapful number since it is divisible by the number (40) 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 401960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487620).

401960 is an abundant number, since it is smaller than the sum of its proper divisors (573280).

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

401960 is a wasteful number, since it uses less digits than its factorization.

401960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 401960 is about 634.0031545663. The cubic root of 401960 is about 73.8007789716.

It can be divided in two parts, 40 and 1960, that multiplied together give a square (78400 = 280²).

The spelling of 401960 in words is "four hundred one thousand, nine hundred sixty".