400024224 has 96 divisors (see below), whose sum is σ = 1183351680. Its totient is φ = 131443200.

The previous prime is 400024213. The next prime is 400024241. The reversal of 400024224 is 422420004.

400024224 is a `hidden beast` number, since 400 + 0 + 242 + 24 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 400024197 and 400024206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58084 + ... + 64604.

It is an arithmetic number, because the mean of its divisors is an integer number (12326580).

Almost surely, 2^400024224 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 400024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591675840).

400024224 is an abundant number, since it is smaller than the sum of its proper divisors (783327456).

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

400024224 is a wasteful number, since it uses less digits than its factorization.

400024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400024224 is about 20000.6055908315. The cubic root of 400024224 is about 736.8211730910.

Adding to 400024224 its reverse (422420004), we get a palindrome (822444228).

It can be divided in two parts, 4000 and 24224, that added together give a square (28224 = 168²).

The spelling of 400024224 in words is "four hundred million, twenty-four thousand, two hundred twenty-four".