48219600 has 240 divisors, whose sum is σ = 182113344. Its totient is φ = 10752000.

The previous prime is 48219593. The next prime is 48219607. The reversal of 48219600 is 691284.

It is an interprime number because it is at equal distance from previous prime (48219593) and next prime (48219607).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48219607) 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, 171460 + ... + 171740.

Almost surely, 2^48219600 is an apocalyptic number.

48219600 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 48219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056672).

48219600 is an abundant number, since it is smaller than the sum of its proper divisors (133893744).

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

48219600 is a wasteful number, since it uses less digits than its factorization.

48219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

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

The square root of 48219600 is about 6944.0334100579. The cubic root of 48219600 is about 363.9774973007.

The spelling of 48219600 in words is "forty-eight million, two hundred nineteen thousand, six hundred".