48691200 has 144 divisors (see below), whose sum is σ = 161474040. Its totient is φ = 12943360.

The previous prime is 48691199. The next prime is 48691211. The reversal of 48691200 is 219684.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153442 + ... + 153758.

Almost surely, 2^48691200 is an apocalyptic number.

48691200 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 48691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80737020).

48691200 is an abundant number, since it is smaller than the sum of its proper divisors (112782840).

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

48691200 is a wasteful number, since it uses less digits than its factorization.

48691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 48691200 is about 6977.9079959541. The cubic root of 48691200 is about 365.1602473938.

It can be divided in two parts, 48 and 691200, that multiplied together give a square (33177600 = 5760²).

The spelling of 48691200 in words is "forty-eight million, six hundred ninety-one thousand, two hundred".