401144580 has 144 divisors (see below), whose sum is σ = 1295526960. Its totient is φ = 100122624.

The previous prime is 401144551. The next prime is 401144581. The reversal of 401144580 is 85441104.

It is a happy number.

401144580 is a `hidden beast` number, since 40 + 1 + 1 + 44 + 580 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13133376 + 388011204 = 3624^2 + 19698^2 .

It is not an unprimeable number, because it can be changed into a prime (401144581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031026 + ... + 1031414.

It is an arithmetic number, because the mean of its divisors is an integer number (8996715).

Almost surely, 2^401144580 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 401144580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647763480).

401144580 is an abundant number, since it is smaller than the sum of its proper divisors (894382380).

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

401144580 is a wasteful number, since it uses less digits than its factorization.

401144580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 401144580 is about 20028.5940594940. The cubic root of 401144580 is about 737.5084085989.

Adding to 401144580 its reverse (85441104), we get a palindrome (486585684).

The spelling of 401144580 in words is "four hundred one million, one hundred forty-four thousand, five hundred eighty".