401424384 has 60 divisors (see below), whose sum is σ = 1070563424. Its totient is φ = 133791744.

The previous prime is 401424323. The next prime is 401424407. The reversal of 401424384 is 483424104.

It is a super-2 number, since 2×401424384² = 322283072139558912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45069 + ... + 53235.

Almost surely, 2^401424384 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 401424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535281712).

401424384 is an abundant number, since it is smaller than the sum of its proper divisors (669139040).

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

401424384 is an frugal number, since it uses more digits than its factorization.

401424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 401424384 is about 20035.5779552275. The cubic root of 401424384 is about 737.6798429167.

Adding to 401424384 its reverse (483424104), we get a palindrome (884848488).

The spelling of 401424384 in words is "four hundred one million, four hundred twenty-four thousand, three hundred eighty-four".