48780480 has 336 divisors, whose sum is σ = 193889376. Its totient is φ = 10321920.

The previous prime is 48780461. The next prime is 48780509. The reversal of 48780480 is 8408784.

It is a tau number, because it is divible by the number of its divisors (336).

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, 799650 + ... + 799710.

Almost surely, 2^48780480 is an apocalyptic number.

48780480 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 48780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96944688).

48780480 is an abundant number, since it is smaller than the sum of its proper divisors (145108896).

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

48780480 is a wasteful number, since it uses less digits than its factorization.

48780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48780480 is about 6984.3023989515. The cubic root of 48780480 is about 365.3832966044.

The spelling of 48780480 in words is "forty-eight million, seven hundred eighty thousand, four hundred eighty".