48380640 has 432 divisors, whose sum is σ = 206324496. Its totient is φ = 9461760.

The previous prime is 48380599. The next prime is 48380641. The reversal of 48380640 is 4608384.

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 (48380641) 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, 2845912 + ... + 2845928.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 2^48380640 is an apocalyptic number.

48380640 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 48380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103162248).

48380640 is an abundant number, since it is smaller than the sum of its proper divisors (157943856).

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

48380640 is a wasteful number, since it uses less digits than its factorization.

48380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48380640 is about 6955.6193110319. The cubic root of 48380640 is about 364.3822414605.

The spelling of 48380640 in words is "forty-eight million, three hundred eighty thousand, six hundred forty".