400221888 has 224 divisors, whose sum is σ = 1248265728. Its totient is φ = 111820800.

The previous prime is 400221751. The next prime is 400221889. The reversal of 400221888 is 888122004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400221889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549106 + ... + 2549262.

Almost surely, 2^400221888 is an apocalyptic number.

400221888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624132864).

400221888 is an abundant number, since it is smaller than the sum of its proper divisors (848043840).

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

400221888 is a wasteful number, since it uses less digits than its factorization.

400221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 400221888 is about 20005.5464309276. The cubic root of 400221888 is about 736.9425149409.

The spelling of 400221888 in words is "four hundred million, two hundred twenty-one thousand, eight hundred eighty-eight".