400448000 has 80 divisors (see below), whose sum is σ = 998701704. Its totient is φ = 160153600.

The previous prime is 400447991. The next prime is 400448021. The reversal of 400448000 is 844004.

It can be written as a sum of positive squares in 4 ways, for example, as 251412736 + 149035264 = 15856^2 + 12208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 60872 + ... + 67128.

Almost surely, 2^400448000 is an apocalyptic number.

400448000 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 400448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499350852).

400448000 is an abundant number, since it is smaller than the sum of its proper divisors (598253704).

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

400448000 is an frugal number, since it uses more digits than its factorization.

400448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 400448000 is about 20011.1968657549. The cubic root of 400448000 is about 737.0812714494.

The spelling of 400448000 in words is "four hundred million, four hundred forty-eight thousand".