401396688 has 240 divisors, whose sum is σ = 1448657280. Its totient is φ = 104163840.

The previous prime is 401396687. The next prime is 401396693. The reversal of 401396688 is 886693104.

It is a super-2 number, since 2×401396688² = 322238602274738688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401396687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365356 + ... + 366452.

It is an arithmetic number, because the mean of its divisors is an integer number (6036072).

Almost surely, 2^401396688 is an apocalyptic number.

401396688 is a gapful number since it is divisible by the number (48) 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 401396688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724328640).

401396688 is an abundant number, since it is smaller than the sum of its proper divisors (1047260592).

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

401396688 is a wasteful number, since it uses less digits than its factorization.

401396688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 401396688 is about 20034.8867728270. The cubic root of 401396688 is about 737.6628772883.

The spelling of 401396688 in words is "four hundred one million, three hundred ninety-six thousand, six hundred eighty-eight".