401314420 has 48 divisors (see below), whose sum is σ = 912764160. Its totient is φ = 147332736.

The previous prime is 401314367. The next prime is 401314421. The reversal of 401314420 is 24413104.

It is a super-2 number, since 2×401314420² = 322106527399872800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401314421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42229 + ... + 50851.

It is an arithmetic number, because the mean of its divisors is an integer number (19015920).

Almost surely, 2^401314420 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 401314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456382080).

401314420 is an abundant number, since it is smaller than the sum of its proper divisors (511449740).

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

401314420 is a wasteful number, since it uses less digits than its factorization.

401314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 401314420 is about 20032.8335489516. The cubic root of 401314420 is about 737.6124781048.

Adding to 401314420 its reverse (24413104), we get a palindrome (425727524).

It can be divided in two parts, 40131 and 4420, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 401314420 in words is "four hundred one million, three hundred fourteen thousand, four hundred twenty".