221340408 has 128 divisors (see below), whose sum is σ = 620006400. Its totient is φ = 65488896.

The previous prime is 221340377. The next prime is 221340409. The reversal of 221340408 is 804043122.

221340408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221340409) 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, 966438 + ... + 966666.

It is an arithmetic number, because the mean of its divisors is an integer number (4843800).

Almost surely, 2^221340408 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 221340408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003200).

221340408 is an abundant number, since it is smaller than the sum of its proper divisors (398665992).

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

221340408 is a wasteful number, since it uses less digits than its factorization.

221340408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221340408 is about 14877.5135019263. The cubic root of 221340408 is about 604.9046208041.

The spelling of 221340408 in words is "two hundred twenty-one million, three hundred forty thousand, four hundred eight".