400048440 has 128 divisors (see below), whose sum is σ = 1344798720. Its totient is φ = 94348800.

The previous prime is 400048433. The next prime is 400048447. The reversal of 400048440 is 44840004.

It is an interprime number because it is at equal distance from previous prime (400048433) and next prime (400048447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400048440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400048447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44745 + ... + 52935.

It is an arithmetic number, because the mean of its divisors is an integer number (10506240).

Almost surely, 2^400048440 is an apocalyptic number.

400048440 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 400048440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672399360).

400048440 is an abundant number, since it is smaller than the sum of its proper divisors (944750280).

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

400048440 is a wasteful number, since it uses less digits than its factorization.

400048440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 400048440 is about 20001.2109633392. The cubic root of 400048440 is about 736.8360409419.

Adding to 400048440 its reverse (44840004), we get a palindrome (444888444).

The spelling of 400048440 in words is "four hundred million, forty-eight thousand, four hundred forty".