48097200 has 120 divisors (see below), whose sum is σ = 155682000. Its totient is φ = 12692480.

The previous prime is 48097193. The next prime is 48097237. The reversal of 48097200 is 279084.

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

It is a super-3 number, since 3×48097200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178666 + ... + 178934.

It is an arithmetic number, because the mean of its divisors is an integer number (1297350).

Almost surely, 2^48097200 is an apocalyptic number.

48097200 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 48097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77841000).

48097200 is an abundant number, since it is smaller than the sum of its proper divisors (107584800).

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

48097200 is a wasteful number, since it uses less digits than its factorization.

48097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48097200 is about 6935.2144883918. The cubic root of 48097200 is about 363.6692644474.

It can be divided in two parts, 480 and 97200, that multiplied together give a cube (46656000 = 360³).

The spelling of 48097200 in words is "forty-eight million, ninety-seven thousand, two hundred".