401410320 has 160 divisors (see below), whose sum is σ = 1296297984. Its totient is φ = 102643200.

The previous prime is 401410319. The next prime is 401410337. The reversal of 401410320 is 23014104.

It is a super-2 number, since 2×401410320² = 322260490005004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401410320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212555 + ... + 1212885.

Almost surely, 2^401410320 is an apocalyptic number.

401410320 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 401410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648148992).

401410320 is an abundant number, since it is smaller than the sum of its proper divisors (894887664).

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

401410320 is a wasteful number, since it uses less digits than its factorization.

401410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401410320 is about 20035.2269765032. The cubic root of 401410320 is about 737.6712278858.

Adding to 401410320 its reverse (23014104), we get a palindrome (424424424).

It can be divided in two parts, 40 and 1410320, that added together give a triangular number (1410360 = T₁₆₇₉).

The spelling of 401410320 in words is "four hundred one million, four hundred ten thousand, three hundred twenty".