48977760 has 192 divisors, whose sum is σ = 170698752. Its totient is φ = 11728896.

The previous prime is 48977749. The next prime is 48977767. The reversal of 48977760 is 6777984.

48977760 is nontrivially palindromic in base 14.

It is a super-3 number, since 3×48977760³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48977767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293197 + ... + 293363.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^48977760 is an apocalyptic number.

48977760 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 48977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85349376).

48977760 is an abundant number, since it is smaller than the sum of its proper divisors (121720992).

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

48977760 is a wasteful number, since it uses less digits than its factorization.

48977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 48977760 is about 6998.4112482763. The cubic root of 48977760 is about 365.8752000671.

The spelling of 48977760 in words is "forty-eight million, nine hundred seventy-seven thousand, seven hundred sixty".