400844088 has 192 divisors, whose sum is σ = 1210023360. Its totient is φ = 119328768.

The previous prime is 400844057. The next prime is 400844099. The reversal of 400844088 is 880448004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400181 + ... + 2400347.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2^400844088 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 400844088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605011680).

400844088 is an abundant number, since it is smaller than the sum of its proper divisors (809179272).

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

400844088 is a wasteful number, since it uses less digits than its factorization.

400844088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 400844088 is about 20021.0910791595. The cubic root of 400844088 is about 737.3242100604.

The spelling of 400844088 in words is "four hundred million, eight hundred forty-four thousand, eighty-eight".