48777540 has 144 divisors (see below), whose sum is σ = 162715392. Its totient is φ = 10881024.

The previous prime is 48777529. The next prime is 48777557. The reversal of 48777540 is 4577784.

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

It is a junction number, because it is equal to n+sod(n) for n = 48777492 and 48777501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138004 + ... + 138356.

It is an arithmetic number, because the mean of its divisors is an integer number (1129968).

Almost surely, 2^48777540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48777540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81357696).

48777540 is an abundant number, since it is smaller than the sum of its proper divisors (113937852).

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

48777540 is a wasteful number, since it uses less digits than its factorization.

48777540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 48777540 is about 6984.0919237937. The cubic root of 48777540 is about 365.3759559053.

The spelling of 48777540 in words is "forty-eight million, seven hundred seventy-seven thousand, five hundred forty".