48364480 has 56 divisors (see below), whose sum is σ = 115763040. Its totient is φ = 19246080.

The previous prime is 48364453. The next prime is 48364501. The reversal of 48364480 is 8446384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114670 + ... + 115090.

Almost surely, 2^48364480 is an apocalyptic number.

48364480 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 48364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57881520).

48364480 is an abundant number, since it is smaller than the sum of its proper divisors (67398560).

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

48364480 is a wasteful number, since it uses less digits than its factorization.

48364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 48364480 is about 6954.4575633187. The cubic root of 48364480 is about 364.3416668783.

It can be divided in two parts, 4836 and 4480, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 48364480 in words is "forty-eight million, three hundred sixty-four thousand, four hundred eighty".