400366944 has 72 divisors (see below), whose sum is σ = 1153020960. Its totient is φ = 131758848.

The previous prime is 400366943. The next prime is 400366951. The reversal of 400366944 is 449663004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400366899 and 400366908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400366943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13954 + ... + 31550.

It is an arithmetic number, because the mean of its divisors is an integer number (16014180).

Almost surely, 2^400366944 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 400366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576510480).

400366944 is an abundant number, since it is smaller than the sum of its proper divisors (752654016).

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

400366944 is a wasteful number, since it uses less digits than its factorization.

400366944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17692 (or 17681 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 400366944 is about 20009.1714970910. The cubic root of 400366944 is about 737.0315364101.

The spelling of 400366944 in words is "four hundred million, three hundred sixty-six thousand, nine hundred forty-four".