400895820 has 288 divisors, whose sum is σ = 1408942080. Its totient is φ = 91445760.

The previous prime is 400895809. The next prime is 400895857. The reversal of 400895820 is 28598004.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3156597 + ... + 3156723.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^400895820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400895820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

400895820 is an abundant number, since it is smaller than the sum of its proper divisors (1008046260).

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

400895820 is a wasteful number, since it uses less digits than its factorization.

400895820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 400895820 is about 20022.3829750607. The cubic root of 400895820 is about 737.3559278084.

The spelling of 400895820 in words is "four hundred million, eight hundred ninety-five thousand, eight hundred twenty".