400392448 has 36 divisors (see below), whose sum is σ = 806351868. Its totient is φ = 198410240.

The previous prime is 400392437. The next prime is 400392457. The reversal of 400392448 is 844293004.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 349241344 = 7152^2 + 18688^2 .

It is a super-2 number, since 2×400392448² = 320628224830865408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22008 + ... + 35848.

It is an arithmetic number, because the mean of its divisors is an integer number (22398663).

Almost surely, 2^400392448 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 400392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403175934).

400392448 is an abundant number, since it is smaller than the sum of its proper divisors (405959420).

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

400392448 is a wasteful number, since it uses less digits than its factorization.

400392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13970 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 400392448 is about 20009.8087946887. The cubic root of 400392448 is about 737.0471860980.

The spelling of 400392448 in words is "four hundred million, three hundred ninety-two thousand, four hundred forty-eight".