400260800 has 84 divisors (see below), whose sum is σ = 995431080. Its totient is φ = 158392320.

The previous prime is 400260799. The next prime is 400260827. The reversal of 400260800 is 8062004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153911 + ... + 156489.

It is an arithmetic number, because the mean of its divisors is an integer number (11850370).

Almost surely, 2^400260800 is an apocalyptic number.

400260800 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 400260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497715540).

400260800 is an abundant number, since it is smaller than the sum of its proper divisors (595170280).

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

400260800 is a wasteful number, since it uses less digits than its factorization.

400260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 400260800 is about 20006.5189375863. The cubic root of 400260800 is about 736.9663975077.

The spelling of 400260800 in words is "four hundred million, two hundred sixty thousand, eight hundred".