48420000 has 180 divisors, whose sum is σ = 172702530. Its totient is φ = 12864000.

The previous prime is 48419981. The next prime is 48420017. The reversal of 48420000 is 2484.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1140624 + 47279376 = 1068^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 179866 + ... + 180134.

Almost surely, 2^48420000 is an apocalyptic number.

48420000 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 48420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351265).

48420000 is an abundant number, since it is smaller than the sum of its proper divisors (124282530).

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

48420000 is a wasteful number, since it uses less digits than its factorization.

48420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48420000 is about 6958.4481028459. The cubic root of 48420000 is about 364.4810288918.

Adding to 48420000 its reverse (2484), we get a palindrome (48422484).

The spelling of 48420000 in words is "forty-eight million, four hundred twenty thousand".