401245420 has 48 divisors (see below), whose sum is σ = 888733440. Its totient is φ = 151747776.

The previous prime is 401245391. The next prime is 401245423. The reversal of 401245420 is 24542104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 401245391 and 401245400.

It is not an unprimeable number, because it can be changed into a prime (401245423) 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, 312099 + ... + 313381.

It is an arithmetic number, because the mean of its divisors is an integer number (18515280).

Almost surely, 2^401245420 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 401245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444366720).

401245420 is an abundant number, since it is smaller than the sum of its proper divisors (487488020).

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

401245420 is a wasteful number, since it uses less digits than its factorization.

401245420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 401245420 is about 20031.1113021719. Note that the first 3 decimals coincide. The cubic root of 401245420 is about 737.5702018781.

Adding to 401245420 its reverse (24542104), we get a palindrome (425787524).

The spelling of 401245420 in words is "four hundred one million, two hundred forty-five thousand, four hundred twenty".