401664384 has 192 divisors, whose sum is σ = 1305579600. Its totient is φ = 117411840.

The previous prime is 401664349. The next prime is 401664401. The reversal of 401664384 is 483466104.

401664384 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×401664384² = 322668554748198912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366942 + ... + 368034.

Almost surely, 2^401664384 is an apocalyptic number.

401664384 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 401664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652789800).

401664384 is an abundant number, since it is smaller than the sum of its proper divisors (903915216).

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

401664384 is a wasteful number, since it uses less digits than its factorization.

401664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 401664384 is about 20041.5664058476. The cubic root of 401664384 is about 737.8268260914.

The spelling of 401664384 in words is "four hundred one million, six hundred sixty-four thousand, three hundred eighty-four".