48684240 has 200 divisors, whose sum is σ = 184729248. Its totient is φ = 11784960.

The previous prime is 48684227. The next prime is 48684247. The reversal of 48684240 is 4248684.

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

It is a junction number, because it is equal to n+sod(n) for n = 48684195 and 48684204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48684247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70939 + ... + 71621.

Almost surely, 2^48684240 is an apocalyptic number.

48684240 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 48684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

48684240 is an abundant number, since it is smaller than the sum of its proper divisors (136045008).

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

48684240 is a wasteful number, since it uses less digits than its factorization.

48684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48684240 is about 6977.4092613233. The cubic root of 48684240 is about 365.1428476965.

Subtracting from 48684240 its reverse (4248684), we obtain a square (44435556 = 6666²).

The spelling of 48684240 in words is "forty-eight million, six hundred eighty-four thousand, two hundred forty".