48462000 has 160 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 12544000.

The previous prime is 48461993. The next prime is 48462017. The reversal of 48462000 is 26484.

48462000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245902 + ... + 246098.

Almost surely, 2^48462000 is an apocalyptic number.

48462000 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 48462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

48462000 is an abundant number, since it is smaller than the sum of its proper divisors (112402704).

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

48462000 is a wasteful number, since it uses less digits than its factorization.

48462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48462000 is about 6961.4653629821. The cubic root of 48462000 is about 364.5863832851.

Adding to 48462000 its reverse (26484), we get a palindrome (48488484).

The spelling of 48462000 in words is "forty-eight million, four hundred sixty-two thousand".