400416 has 48 divisors (see below), whose sum is σ = 1086624. Its totient is φ = 129024.

The previous prime is 400409. The next prime is 400417. The reversal of 400416 is 614004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 400395 and 400404.

It is not an unprimeable number, because it can be changed into a prime (400417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (22638).

2⁴⁰⁰⁴¹⁶ 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 400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543312).

400416 is an abundant number, since it is smaller than the sum of its proper divisors (686208).

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

400416 is a wasteful number, since it uses less digits than its factorization.

400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400416 is about 632.7843234468. The cubic root of 400416 is about 73.7061637415.

The spelling of 400416 in words is "four hundred thousand, four hundred sixteen".