401920 has 40 divisors (see below), whose sum is σ = 969804. Its totient is φ = 159744.

The previous prime is 401917. The next prime is 401939. The reversal of 401920 is 29104.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 12544 = 624^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 401894 and 401903.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2482 + ... + 2638.

2⁴⁰¹⁹²⁰ is an apocalyptic number.

401920 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 401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484902).

401920 is an abundant number, since it is smaller than the sum of its proper divisors (567884).

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

401920 is an equidigital number, since it uses as much as digits as its factorization.

401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 401920 is about 633.9716081971. The cubic root of 401920 is about 73.7983308597.

Subtracting from 401920 its reverse (29104), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 401920 in words is "four hundred one thousand, nine hundred twenty".