48609600 has 336 divisors, whose sum is σ = 185196480. Its totient is φ = 11059200.

The previous prime is 48609571. The next prime is 48609607. The reversal of 48609600 is 690684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48609607) 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, 1185580 + ... + 1185620.

It is an arithmetic number, because the mean of its divisors is an integer number (551180).

Almost surely, 2^48609600 is an apocalyptic number.

48609600 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 48609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

48609600 is an abundant number, since it is smaller than the sum of its proper divisors (136586880).

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

48609600 is a wasteful number, since it uses less digits than its factorization.

48609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 48609600 is about 6972.0585195479. The cubic root of 48609600 is about 364.9561466048.

It can be divided in two parts, 4860 and 9600, that multiplied together give a cube (46656000 = 360³).

The spelling of 48609600 in words is "forty-eight million, six hundred nine thousand, six hundred".