48618240 has 144 divisors (see below), whose sum is σ = 169537536. Its totient is φ = 11776000.

The previous prime is 48618223. The next prime is 48618247. The reversal of 48618240 is 4281684.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48618247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41665 + ... + 42815.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^48618240 is an apocalyptic number.

48618240 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 48618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84768768).

48618240 is an abundant number, since it is smaller than the sum of its proper divisors (120919296).

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

48618240 is a wasteful number, since it uses less digits than its factorization.

48618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48618240 is about 6972.6781081590. The cubic root of 48618240 is about 364.9777680836.

The spelling of 48618240 in words is "forty-eight million, six hundred eighteen thousand, two hundred forty".