909852480 has 448 divisors, whose sum is σ = 3433267200. Its totient is φ = 226437120.

The previous prime is 909852479. The next prime is 909852491. The reversal of 909852480 is 84258909.

909852480 is a `hidden beast` number, since 90 + 9 + 85 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11517081 + ... + 11517159.

Almost surely, 2^909852480 is an apocalyptic number.

909852480 is a gapful number since it is divisible by the number (90) 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 909852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716633600).

909852480 is an abundant number, since it is smaller than the sum of its proper divisors (2523414720).

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

909852480 is a wasteful number, since it uses less digits than its factorization.

909852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 909852480 is about 30163.7610387034. The cubic root of 909852480 is about 968.9997412032. Note that the first 3 decimals are identical.

The spelling of 909852480 in words is "nine hundred nine million, eight hundred fifty-two thousand, four hundred eighty".