227985408 has 384 divisors, whose sum is σ = 838656000. Its totient is φ = 59719680.

The previous prime is 227985397. The next prime is 227985409. The reversal of 227985408 is 804589722.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (227985409) 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, 7354353 + ... + 7354383.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^227985408 is an apocalyptic number.

227985408 is a gapful number since it is divisible by the number (28) 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 227985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328000).

227985408 is an abundant number, since it is smaller than the sum of its proper divisors (610670592).

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

227985408 is a wasteful number, since it uses less digits than its factorization.

227985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 227985408 is about 15099.1856734064. The cubic root of 227985408 is about 610.8984413728.

The spelling of 227985408 in words is "two hundred twenty-seven million, nine hundred eighty-five thousand, four hundred eight".