400084256 has 192 divisors, whose sum is σ = 1013523840. Its totient is φ = 152616960.

The previous prime is 400084249. The next prime is 400084259. The reversal of 400084256 is 652480004.

400084256 = T₂₅₄ + T₂₅₅ + ... + T₁₃₄₁.

It is not an unprimeable number, because it can be changed into a prime (400084259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2878235 + ... + 2878373.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^400084256 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 400084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

400084256 is an abundant number, since it is smaller than the sum of its proper divisors (613439584).

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

400084256 is a wasteful number, since it uses less digits than its factorization.

400084256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 400084256 is about 20002.1062890887. The cubic root of 400084256 is about 736.8580297224.

The spelling of 400084256 in words is "four hundred million, eighty-four thousand, two hundred fifty-six".