401277800 has 192 divisors, whose sum is σ = 1182781440. Its totient is φ = 122976000.

The previous prime is 401277797. The next prime is 401277827. The reversal of 401277800 is 8772104.

It is a super-2 number, since 2×401277800² = 322047745545680000, which contains 22 as substring.

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, 1093217 + ... + 1093583.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2^401277800 is an apocalyptic number.

401277800 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 401277800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591390720).

401277800 is an abundant number, since it is smaller than the sum of its proper divisors (781503640).

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

401277800 is a wasteful number, since it uses less digits than its factorization.

401277800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 401277800 is about 20031.9195285924. The cubic root of 401277800 is about 737.5900416732.

The spelling of 401277800 in words is "four hundred one million, two hundred seventy-seven thousand, eight hundred".