401689800 has 192 divisors, whose sum is σ = 1403928000. Its totient is φ = 105546240.

The previous prime is 401689793. The next prime is 401689823. The reversal of 401689800 is 8986104.

It is a happy number.

It is a super-2 number, since 2×401689800² = 322709390848080000, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393691 + ... + 394709.

It is an arithmetic number, because the mean of its divisors is an integer number (7312125).

Almost surely, 2^401689800 is an apocalyptic number.

401689800 is a gapful number since it is divisible by the number (40) 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 401689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701964000).

401689800 is an abundant number, since it is smaller than the sum of its proper divisors (1002238200).

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

401689800 is a wasteful number, since it uses less digits than its factorization.

401689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 401689800 is about 20042.2004779914. The cubic root of 401689800 is about 737.8423881807.

The spelling of 401689800 in words is "four hundred one million, six hundred eighty-nine thousand, eight hundred".