401521444 has 27 divisors (see below), whose sum is σ = 722484273. Its totient is φ = 195250272.

The previous prime is 401521441. The next prime is 401521457. The reversal of 401521444 is 444125104.

The square root of 401521444 is 20038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 319980544 = 9030^2 + 17888^2 .

It is a super-2 number, since 2×401521444² = 322438939983690272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401521441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1723152 + ... + 1723384.

Almost surely, 2^401521444 is an apocalyptic number.

401521444 is the 20038-th square number.

It is an amenable number.

401521444 is a deficient number, since it is larger than the sum of its proper divisors (320962829).

401521444 is an equidigital number, since it uses as much as digits as its factorization.

401521444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The cubic root of 401521444 is about 737.7392924158.

Multiplying 401521444 by its sum of digits (25), we get a square (10038036100 = 100190²).

Adding to 401521444 its reverse (444125104), we get a palindrome (845646548).

The spelling of 401521444 in words is "four hundred one million, five hundred twenty-one thousand, four hundred forty-four".