400896 has 80 divisors (see below), whose sum is σ = 1227600. Its totient is φ = 129024.

The previous prime is 400871. The next prime is 400903. The reversal of 400896 is 698004.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13810 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2⁴⁰⁰⁸⁹⁶ 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 400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613800).

400896 is an abundant number, since it is smaller than the sum of its proper divisors (826704).

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

400896 is an equidigital number, since it uses as much as digits as its factorization.

400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400896 is about 633.1634859971. The cubic root of 400896 is about 73.7356038165.

400896 divided by its product of nonzero digits (1728) gives a palindrome (232).

It can be divided in two parts, 400 and 896, that added together give a 4-th power (1296 = 6⁴).

The spelling of 400896 in words is "four hundred thousand, eight hundred ninety-six".