102408480 has 216 divisors, whose sum is σ = 370702332. Its totient is φ = 25740288.

The previous prime is 102408419. The next prime is 102408487. The reversal of 102408480 is 84804201.

It can be written as a sum of positive squares in 2 ways, for example, as 96118416 + 6290064 = 9804^2 + 2508^2 .

It is not an unprimeable number, because it can be changed into a prime (102408487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519742 + ... + 519938.

Almost surely, 2^102408480 is an apocalyptic number.

102408480 is a gapful number since it is divisible by the number (10) 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 102408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185351166).

102408480 is an abundant number, since it is smaller than the sum of its proper divisors (268293852).

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

102408480 is a wasteful number, since it uses less digits than its factorization.

102408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102408480 is about 10119.7075056545. The cubic root of 102408480 is about 467.8557521693.

The spelling of 102408480 in words is "one hundred two million, four hundred eight thousand, four hundred eighty".