401327784 has 320 divisors, whose sum is σ = 1361162880. Its totient is φ = 108864000.

The previous prime is 401327779. The next prime is 401327831. The reversal of 401327784 is 487723104.

It is a happy number.

It is a super-2 number, since 2×401327784² = 322127980420701312, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5652469 + ... + 5652539.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2^401327784 is an apocalyptic number.

401327784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401327784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

401327784 is an abundant number, since it is smaller than the sum of its proper divisors (959835096).

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

401327784 is a wasteful number, since it uses less digits than its factorization.

401327784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 401327784 is about 20033.1670985893. The cubic root of 401327784 is about 737.6206656532.

The spelling of 401327784 in words is "four hundred one million, three hundred twenty-seven thousand, seven hundred eighty-four".