400282272 has 288 divisors, whose sum is σ = 1370416320. Its totient is φ = 109486080.

The previous prime is 400282213. The next prime is 400282279. The reversal of 400282272 is 272282004.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (400282279) 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, 1209147 + ... + 1209477.

It is an arithmetic number, because the mean of its divisors is an integer number (4758390).

Almost surely, 2^400282272 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 400282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685208160).

400282272 is an abundant number, since it is smaller than the sum of its proper divisors (970134048).

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

400282272 is a wasteful number, since it uses less digits than its factorization.

400282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 400282272 is about 20007.0555554784. The cubic root of 400282272 is about 736.9795754653.

The spelling of 400282272 in words is "four hundred million, two hundred eighty-two thousand, two hundred seventy-two".