48777300 has 216 divisors, whose sum is σ = 180092640. Its totient is φ = 10886400.

The previous prime is 48777293. The next prime is 48777307. The reversal of 48777300 is 377784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48777293) and next prime (48777307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48777307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128511 + ... + 128889.

Almost surely, 2^48777300 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 48777300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

48777300 is an abundant number, since it is smaller than the sum of its proper divisors (131315340).

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

48777300 is a wasteful number, since it uses less digits than its factorization.

48777300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 48777300 is about 6984.0747418681. The cubic root of 48777300 is about 365.3753566515.

The spelling of 48777300 in words is "forty-eight million, seven hundred seventy-seven thousand, three hundred".