401580284 has 48 divisors (see below), whose sum is σ = 847896000. Its totient is φ = 166154688.

The previous prime is 401580271. The next prime is 401580317. The reversal of 401580284 is 482085104.

It is a happy number.

It is a super-2 number, since 2×401580284² = 322533448995041312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401580284.

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 15 ways as a sum of consecutive naturals, for example, 34742 + ... + 44834.

It is an arithmetic number, because the mean of its divisors is an integer number (17664500).

Almost surely, 2^401580284 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 401580284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423948000).

401580284 is an abundant number, since it is smaller than the sum of its proper divisors (446315716).

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

401580284 is a wasteful number, since it uses less digits than its factorization.

401580284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 401580284 is about 20039.4681566153. The cubic root of 401580284 is about 737.7753274026.

The spelling of 401580284 in words is "four hundred one million, five hundred eighty thousand, two hundred eighty-four".