4546896480 has 288 divisors, whose sum is σ = 18306183168. Its totient is φ = 1005696000.

The previous prime is 4546896407. The next prime is 4546896493. The reversal of 4546896480 is 846986454.

4546896480 is a `hidden beast` number, since 4 + 546 + 8 + 96 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305205 + ... + 319755.

It is an arithmetic number, because the mean of its divisors is an integer number (63563136).

Almost surely, 2^4546896480 is an apocalyptic number.

4546896480 is a gapful number since it is divisible by the number (40) 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 4546896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153091584).

4546896480 is an abundant number, since it is smaller than the sum of its proper divisors (13759286688).

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

4546896480 is a wasteful number, since it uses less digits than its factorization.

4546896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4546896480 is about 67430.6790711765. The cubic root of 4546896480 is about 1656.6789556464.

The spelling of 4546896480 in words is "four billion, five hundred forty-six million, eight hundred ninety-six thousand, four hundred eighty".