400448356 has 96 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 148874880.

The previous prime is 400448333. The next prime is 400448371. The reversal of 400448356 is 653844004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955515 + ... + 955933.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^400448356 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 400448356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

400448356 is an abundant number, since it is smaller than the sum of its proper divisors (514009244).

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

400448356 is a wasteful number, since it uses less digits than its factorization.

400448356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 400448356 is about 20011.2057607731. The cubic root of 400448356 is about 737.0814898721.

It can be divided in two parts, 40044 and 8356, that added together give a square (48400 = 220²).

The spelling of 400448356 in words is "four hundred million, four hundred forty-eight thousand, three hundred fifty-six".