401520 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 91392.

The previous prime is 401519. The next prime is 401537. The reversal of 401520 is 25104.

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

It is a super-2 number, since 2×401520² = 322436620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 401496 and 401505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401520.

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, 1561 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁴⁰¹⁵²⁰ is an apocalyptic number.

401520 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 401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

401520 is an abundant number, since it is smaller than the sum of its proper divisors (1026960).

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

401520 is a wasteful number, since it uses less digits than its factorization.

401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 401520 is about 633.6560581262. The cubic root of 401520 is about 73.7738408032.

Adding to 401520 its reverse (25104), we get a palindrome (426624).

The spelling of 401520 in words is "four hundred one thousand, five hundred twenty".