400440768 has 336 divisors, whose sum is σ = 1374379776. Its totient is φ = 100638720.

The previous prime is 400440757. The next prime is 400440769. The reversal of 400440768 is 867044004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400440769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9312555 + ... + 9312597.

It is an arithmetic number, because the mean of its divisors is an integer number (4090416).

Almost surely, 2^400440768 is an apocalyptic number.

400440768 is a gapful number since it is divisible by the number (48) 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 400440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687189888).

400440768 is an abundant number, since it is smaller than the sum of its proper divisors (973939008).

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

400440768 is a wasteful number, since it uses less digits than its factorization.

400440768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 400440768 is about 20011.0161661021. The cubic root of 400440768 is about 737.0768342492.

The spelling of 400440768 in words is "four hundred million, four hundred forty thousand, seven hundred sixty-eight".