400301440 has 128 divisors (see below), whose sum is σ = 1193253120. Its totient is φ = 124753920.

The previous prime is 400301437. The next prime is 400301449. The reversal of 400301440 is 44103004.

400301440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400301449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45219 + ... + 53341.

It is an arithmetic number, because the mean of its divisors is an integer number (9322290).

Almost surely, 2^400301440 is an apocalyptic number.

400301440 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 400301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596626560).

400301440 is an abundant number, since it is smaller than the sum of its proper divisors (792951680).

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

400301440 is a wasteful number, since it uses less digits than its factorization.

400301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400301440 is about 20007.5345807523. The cubic root of 400301440 is about 736.9913389965.

Adding to 400301440 its reverse (44103004), we get a palindrome (444404444).

The spelling of 400301440 in words is "four hundred million, three hundred one thousand, four hundred forty".