48073600 has 96 divisors (see below), whose sum is σ = 120851640. Its totient is φ = 18892800.

The previous prime is 48073589. The next prime is 48073609. The reversal of 48073600 is 637084.

It is a super-3 number, since 3×48073600³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265510 + ... + 265690.

Almost surely, 2^48073600 is an apocalyptic number.

48073600 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 48073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425820).

48073600 is an abundant number, since it is smaller than the sum of its proper divisors (72778040).

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

48073600 is a wasteful number, since it uses less digits than its factorization.

48073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 48073600 is about 6933.5128181896. The cubic root of 48073600 is about 363.6097738133.

The spelling of 48073600 in words is "forty-eight million, seventy-three thousand, six hundred".