882249408 has 336 divisors, whose sum is σ = 2875751424. Its totient is φ = 267079680.

The previous prime is 882249373. The next prime is 882249409. The reversal of 882249408 is 804942288.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (882249409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12426013 + ... + 12426083.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 2^882249408 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 882249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437875712).

882249408 is an abundant number, since it is smaller than the sum of its proper divisors (1993502016).

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

882249408 is a wasteful number, since it uses less digits than its factorization.

882249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 882249408 is about 29702.6835151304. The cubic root of 882249408 is about 959.0997811034.

The spelling of 882249408 in words is "eight hundred eighty-two million, two hundred forty-nine thousand, four hundred eight".