401320420 has 48 divisors (see below), whose sum is σ = 881975808. Its totient is φ = 153204480.

The previous prime is 401320393. The next prime is 401320427. The reversal of 401320420 is 24023104.

It is a super-2 number, since 2×401320420² = 322116159017952800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401320394 and 401320403.

It is not an unprimeable number, because it can be changed into a prime (401320427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40827 + ... + 49693.

It is an arithmetic number, because the mean of its divisors is an integer number (18374496).

Almost surely, 2^401320420 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 401320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440987904).

401320420 is an abundant number, since it is smaller than the sum of its proper divisors (480655388).

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

401320420 is a wasteful number, since it uses less digits than its factorization.

401320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 401320420 is about 20032.9833025438. The cubic root of 401320420 is about 737.6161540694.

Adding to 401320420 its reverse (24023104), we get a palindrome (425343524).

The spelling of 401320420 in words is "four hundred one million, three hundred twenty thousand, four hundred twenty".