401878800 has 240 divisors, whose sum is σ = 1446574080. Its totient is φ = 105960960.

The previous prime is 401878783. The next prime is 401878801. The reversal of 401878800 is 8878104.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (401878801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371454 + ... + 1371746.

It is an arithmetic number, because the mean of its divisors is an integer number (6027392).

Almost surely, 2^401878800 is an apocalyptic number.

401878800 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 401878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723287040).

401878800 is an abundant number, since it is smaller than the sum of its proper divisors (1044695280).

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

401878800 is a wasteful number, since it uses less digits than its factorization.

401878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 401878800 is about 20046.9149746289. The cubic root of 401878800 is about 737.9580913475.

The spelling of 401878800 in words is "four hundred one million, eight hundred seventy-eight thousand, eight hundred".