401198688 has 72 divisors (see below), whose sum is σ = 1244637576. Its totient is φ = 121574400.

The previous prime is 401198669. The next prime is 401198689. The reversal of 401198688 is 886891104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401198689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60153 + ... + 66488.

It is an arithmetic number, because the mean of its divisors is an integer number (17286633).

Almost surely, 2^401198688 is an apocalyptic number.

401198688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401198688 is an abundant number, since it is smaller than the sum of its proper divisors (843438888).

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

401198688 is a wasteful number, since it uses less digits than its factorization.

401198688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126668 (or 126657 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 401198688 is about 20029.9447827497. The cubic root of 401198688 is about 737.5415664784.

The spelling of 401198688 in words is "four hundred one million, one hundred ninety-eight thousand, six hundred eighty-eight".