401408784 has 300 divisors, whose sum is σ = 1390685296. Its totient is φ = 112021056.

The previous prime is 401408783. The next prime is 401408789. The reversal of 401408784 is 487804104.

It is a happy number.

It is a super-2 number, since 2×401408784² = 322258023744717312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401408783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9335067 + ... + 9335109.

Almost surely, 2^401408784 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 401408784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695342648).

401408784 is an abundant number, since it is smaller than the sum of its proper divisors (989276512).

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

401408784 is an frugal number, since it uses more digits than its factorization.

401408784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 401408784 is about 20035.1886439834. The cubic root of 401408784 is about 737.6702869828.

The spelling of 401408784 in words is "four hundred one million, four hundred eight thousand, seven hundred eighty-four".