401526528 has 144 divisors (see below), whose sum is σ = 1163412096. Its totient is φ = 122204160.

The previous prime is 401526523. The next prime is 401526551. The reversal of 401526528 is 825625104.

It is a super-2 number, since 2×401526528² = 322447105375469568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401526523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307751 + ... + 1308057.

Almost surely, 2^401526528 is an apocalyptic number.

401526528 is a gapful number since it is divisible by the number (48) 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 401526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581706048).

401526528 is an abundant number, since it is smaller than the sum of its proper divisors (761885568).

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

401526528 is a wasteful number, since it uses less digits than its factorization.

401526528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 401526528 is about 20038.1268585664. The cubic root of 401526528 is about 737.7424061148.

The spelling of 401526528 in words is "four hundred one million, five hundred twenty-six thousand, five hundred twenty-eight".