401304020 has 48 divisors (see below), whose sum is σ = 913034640. Its totient is φ = 148157568.

The previous prime is 401303983. The next prime is 401304037. The reversal of 401304020 is 20403104.

It can be written as a sum of positive squares in 8 ways, for example, as 241989136 + 159314884 = 15556^2 + 12622^2 .

It is a super-2 number, since 2×401304020² = 322089832936320800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401303986 and 401304004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39374 + ... + 48506.

It is an arithmetic number, because the mean of its divisors is an integer number (19021555).

Almost surely, 2^401304020 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 401304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456517320).

401304020 is an abundant number, since it is smaller than the sum of its proper divisors (511730620).

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

401304020 is a wasteful number, since it uses less digits than its factorization.

401304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 401304020 is about 20032.5739734064. The cubic root of 401304020 is about 737.6061063460.

Adding to 401304020 its reverse (20403104), we get a palindrome (421707124).

The spelling of 401304020 in words is "four hundred one million, three hundred four thousand, twenty".