102489408 has 224 divisors, whose sum is σ = 355193600. Its totient is φ = 28366848.

The previous prime is 102489407. The next prime is 102489421. The reversal of 102489408 is 804984201.

102489408 is a `hidden beast` number, since 1 + 0 + 248 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102489407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 447438 + ... + 447666.

Almost surely, 2^102489408 is an apocalyptic number.

102489408 is a gapful number since it is divisible by the number (18) 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 102489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177596800).

102489408 is an abundant number, since it is smaller than the sum of its proper divisors (252704192).

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

102489408 is a wasteful number, since it uses less digits than its factorization.

102489408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102489408 is about 10123.7052505493. The cubic root of 102489408 is about 467.9789602639.

The spelling of 102489408 in words is "one hundred two million, four hundred eighty-nine thousand, four hundred eight".