48459600 has 240 divisors, whose sum is σ = 197427840. Its totient is φ = 11059200.

The previous prime is 48459583. The next prime is 48459601. The reversal of 48459600 is 695484.

48459600 is a `hidden beast` number, since 4 + 8 + 45 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48459601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75280 + ... + 75920.

It is an arithmetic number, because the mean of its divisors is an integer number (822616).

Almost surely, 2^48459600 is an apocalyptic number.

48459600 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 48459600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98713920).

48459600 is an abundant number, since it is smaller than the sum of its proper divisors (148968240).

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

48459600 is a wasteful number, since it uses less digits than its factorization.

48459600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48459600 is about 6961.2929833473. The cubic root of 48459600 is about 364.5803646742.

The spelling of 48459600 in words is "forty-eight million, four hundred fifty-nine thousand, six hundred".