48978480 has 80 divisors (see below), whose sum is σ = 153606240. Its totient is φ = 12908544.

The previous prime is 48978469. The next prime is 48978487. The reversal of 48978480 is 8487984.

48978480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×48978480² = 4797783006220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48978487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20214 + ... + 22506.

It is an arithmetic number, because the mean of its divisors is an integer number (1920078).

Almost surely, 2^48978480 is an apocalyptic number.

48978480 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 48978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76803120).

48978480 is an abundant number, since it is smaller than the sum of its proper divisors (104627760).

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

48978480 is a wasteful number, since it uses less digits than its factorization.

48978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 48978480 is about 6998.4626883338. The cubic root of 48978480 is about 365.8769929139.

The spelling of 48978480 in words is "forty-eight million, nine hundred seventy-eight thousand, four hundred eighty".