48486480 has 320 divisors, whose sum is σ = 190464000. Its totient is φ = 10160640.

The previous prime is 48486439. The next prime is 48486481. The reversal of 48486480 is 8468484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48486481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564065 + ... + 1564095.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 2^48486480 is an apocalyptic number.

48486480 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 48486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

48486480 is an abundant number, since it is smaller than the sum of its proper divisors (141977520).

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

48486480 is a wasteful number, since it uses less digits than its factorization.

48486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 48486480 is about 6963.2233915048. The cubic root of 48486480 is about 364.6477617692.

48486480 divided by its sum of digits (42) gives a triangular number (1154440 = T₁₅₁₉).

The spelling of 48486480 in words is "forty-eight million, four hundred eighty-six thousand, four hundred eighty".