401120784 has 45 divisors (see below), whose sum is σ = 1123254093. Its totient is φ = 133626816.

The previous prime is 401120773. The next prime is 401120791. The reversal of 401120784 is 487021104.

The square root of 401120784 is 20028.

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., 213978384 + 187142400 = 14628^2 + 13680^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239502 + ... + 241170.

Almost surely, 2^401120784 is an apocalyptic number.

401120784 is the 20028-th square number.

It is an amenable number.

401120784 is an abundant number, since it is smaller than the sum of its proper divisors (722133309).

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

401120784 is an equidigital number, since it uses as much as digits as its factorization.

401120784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 401120784 is about 737.4938252475.

Adding to 401120784 its reverse (487021104), we get a palindrome (888141888).

The spelling of 401120784 in words is "four hundred one million, one hundred twenty thousand, seven hundred eighty-four".