48457440 has 120 divisors (see below), whose sum is σ = 171060120. Its totient is φ = 12918528.

The previous prime is 48457439. The next prime is 48457447. The reversal of 48457440 is 4475484.

48457440 is a `hidden beast` number, since 4 + 84 + 574 + 4 + 0 = 666.

48457440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 48457395 and 48457404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48457447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11091 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (1425501).

Almost surely, 2^48457440 is an apocalyptic number.

48457440 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 48457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530060).

48457440 is an abundant number, since it is smaller than the sum of its proper divisors (122602680).

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

48457440 is a wasteful number, since it uses less digits than its factorization.

48457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 48457440 is about 6961.1378380262. The cubic root of 48457440 is about 364.5749477545.

The spelling of 48457440 in words is "forty-eight million, four hundred fifty-seven thousand, four hundred forty".