400455144 has 128 divisors (see below), whose sum is σ = 1157328000. Its totient is φ = 128189952.

The previous prime is 400455131. The next prime is 400455157. The reversal of 400455144 is 441554004.

It is an interprime number because it is at equal distance from previous prime (400455131) and next prime (400455157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711007 + ... + 711569.

It is an arithmetic number, because the mean of its divisors is an integer number (9041625).

Almost surely, 2^400455144 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 400455144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578664000).

400455144 is an abundant number, since it is smaller than the sum of its proper divisors (756872856).

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

400455144 is a wasteful number, since it uses less digits than its factorization.

400455144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 400455144 is about 20011.3753650268. The cubic root of 400455144 is about 737.0856546047.

The spelling of 400455144 in words is "four hundred million, four hundred fifty-five thousand, one hundred forty-four".