400219776 has 96 divisors (see below), whose sum is σ = 1256411520. Its totient is φ = 121274880.

The previous prime is 400219759. The next prime is 400219789. The reversal of 400219776 is 677912004.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 400219776.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3120 + ... + 28463.

It is an arithmetic number, because the mean of its divisors is an integer number (13087620).

Almost surely, 2^400219776 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 400219776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628205760).

400219776 is an abundant number, since it is smaller than the sum of its proper divisors (856191744).

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

400219776 is a wasteful number, since it uses less digits than its factorization.

400219776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31614 (or 31599 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 400219776 is about 20005.4936454965. The cubic root of 400219776 is about 736.9412186389.

The spelling of 400219776 in words is "four hundred million, two hundred nineteen thousand, seven hundred seventy-six".