48774720 has 168 divisors, whose sum is σ = 165104064. Its totient is φ = 12176384.

The previous prime is 48774709. The next prime is 48774721. The reversal of 48774720 is 2747784.

It is a super-2 number, since 2×48774720² = 4757946622156800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48774721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1037737 + ... + 1037783.

Almost surely, 2^48774720 is an apocalyptic number.

48774720 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 48774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82552032).

48774720 is an abundant number, since it is smaller than the sum of its proper divisors (116329344).

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

48774720 is a wasteful number, since it uses less digits than its factorization.

48774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 48774720 is about 6983.8900334985. The cubic root of 48774720 is about 365.3689145494.

It can be divided in two parts, 48774 and 720, that added together give a palindrome (49494).

The spelling of 48774720 in words is "forty-eight million, seven hundred seventy-four thousand, seven hundred twenty".