400143456 has 96 divisors (see below), whose sum is σ = 1198723680. Its totient is φ = 129765888.

The previous prime is 400143451. The next prime is 400143461. The reversal of 400143456 is 654341004.

It is an interprime number because it is at equal distance from previous prime (400143451) and next prime (400143461).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×400143456² = 320229570759247872, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400143451) 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, 25710 + ... + 38226.

It is an arithmetic number, because the mean of its divisors is an integer number (12486705).

Almost surely, 2^400143456 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 400143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599361840).

400143456 is an abundant number, since it is smaller than the sum of its proper divisors (798580224).

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

400143456 is a wasteful number, since it uses less digits than its factorization.

400143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 400143456 is about 20003.5860785010. The cubic root of 400143456 is about 736.8943719373.

The spelling of 400143456 in words is "four hundred million, one hundred forty-three thousand, four hundred fifty-six".