104460480 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 24938496.

The previous prime is 104460479. The next prime is 104460481. The reversal of 104460480 is 84064401.

104460480 is a `hidden beast` number, since 10 + 44 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104460479) and next prime (104460481).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (104460481) 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, 1258519 + ... + 1258601.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^104460480 is an apocalyptic number.

104460480 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 104460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

104460480 is an abundant number, since it is smaller than the sum of its proper divisors (294949440).

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

104460480 is a wasteful number, since it uses less digits than its factorization.

104460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104460480 is about 10220.5909809560. The cubic root of 104460480 is about 470.9599814539.

The spelling of 104460480 in words is "one hundred four million, four hundred sixty thousand, four hundred eighty".