48787920 has 100 divisors (see below), whose sum is σ = 169470180. Its totient is φ = 13008384.

The previous prime is 48787919. The next prime is 48787967. The reversal of 48787920 is 2978784.

48787920 is a `hidden beast` number, since 487 + 87 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 31945104 = 4104^2 + 5652^2 .

It is a super-2 number, since 2×48787920² = 4760522275852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2716 + ... + 10244.

Almost surely, 2^48787920 is an apocalyptic number.

48787920 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 48787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84735090).

48787920 is an abundant number, since it is smaller than the sum of its proper divisors (120682260).

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

48787920 is a wasteful number, since it uses less digits than its factorization.

48787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 48787920 is about 6984.8350016303. The cubic root of 48787920 is about 365.4018717498.

The spelling of 48787920 in words is "forty-eight million, seven hundred eighty-seven thousand, nine hundred twenty".