401305520 has 80 divisors (see below), whose sum is σ = 1163282688. Its totient is φ = 125080320.

The previous prime is 401305507. The next prime is 401305537. The reversal of 401305520 is 25503104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401305520² = 322092240764940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401305492 and 401305501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26414 + ... + 38733.

Almost surely, 2^401305520 is an apocalyptic number.

401305520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401305520 is an abundant number, since it is smaller than the sum of its proper divisors (761977168).

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

401305520 is a wasteful number, since it uses less digits than its factorization.

401305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65178 (or 65172 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 401305520 is about 20032.6114123945. The cubic root of 401305520 is about 737.6070253565.

Adding to 401305520 its reverse (25503104), we get a palindrome (426808624).

The spelling of 401305520 in words is "four hundred one million, three hundred five thousand, five hundred twenty".