48434760 has 224 divisors, whose sum is σ = 179426880. Its totient is φ = 11664000.

The previous prime is 48434759. The next prime is 48434773. The reversal of 48434760 is 6743484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320685 + ... + 320835.

Almost surely, 2^48434760 is an apocalyptic number.

48434760 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 48434760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89713440).

48434760 is an abundant number, since it is smaller than the sum of its proper divisors (130992120).

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

48434760 is a wasteful number, since it uses less digits than its factorization.

48434760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48434760 is about 6959.5086033426. The cubic root of 48434760 is about 364.5180603763.

It can be divided in two parts, 48434 and 760, that added together give a palindrome (49194).

The spelling of 48434760 in words is "forty-eight million, four hundred thirty-four thousand, seven hundred sixty".