401505524 has 48 divisors (see below), whose sum is σ = 852405120. Its totient is φ = 161541120.

The previous prime is 401505499. The next prime is 401505593. The reversal of 401505524 is 425505104.

It is a super-2 number, since 2×401505524² = 322413371605029152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401505493 and 401505502.

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, 247187 + ... + 248805.

It is an arithmetic number, because the mean of its divisors is an integer number (17758440).

Almost surely, 2^401505524 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 401505524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426202560).

401505524 is an abundant number, since it is smaller than the sum of its proper divisors (450899596).

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

401505524 is a wasteful number, since it uses less digits than its factorization.

401505524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 401505524 is about 20037.6027508283. The cubic root of 401505524 is about 737.7295420319.

The spelling of 401505524 in words is "four hundred one million, five hundred five thousand, five hundred twenty-four".