400228380 has 72 divisors (see below), whose sum is σ = 1225224000. Its totient is φ = 105743232.

The previous prime is 400228351. The next prime is 400228397. The reversal of 400228380 is 83822004.

400228380 is a `hidden beast` number, since 400 + 228 + 38 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9421 + ... + 29819.

It is an arithmetic number, because the mean of its divisors is an integer number (17017000).

Almost surely, 2^400228380 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 400228380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612612000).

400228380 is an abundant number, since it is smaller than the sum of its proper divisors (824995620).

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

400228380 is a wasteful number, since it uses less digits than its factorization.

400228380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20523 (or 20518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400228380 is about 20005.7086852728. The cubic root of 400228380 is about 736.9464995680.

The spelling of 400228380 in words is "four hundred million, two hundred twenty-eight thousand, three hundred eighty".