401521520 has 40 divisors (see below), whose sum is σ = 948852960. Its totient is φ = 157973760.

The previous prime is 401521507. The next prime is 401521567. The reversal of 401521520 is 25125104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×401521520³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 401521492 and 401521501.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36260 + ... + 46019.

It is an arithmetic number, because the mean of its divisors is an integer number (23721324).

Almost surely, 2^401521520 is an apocalyptic number.

401521520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401521520 is an abundant number, since it is smaller than the sum of its proper divisors (547331440).

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

401521520 is a wasteful number, since it uses less digits than its factorization.

401521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82353 (or 82347 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 401521520 is about 20038.0018963968. The cubic root of 401521520 is about 737.7393389623.

Adding to 401521520 its reverse (25125104), we get a palindrome (426646624).

The spelling of 401521520 in words is "four hundred one million, five hundred twenty-one thousand, five hundred twenty".