48312000 has 336 divisors, whose sum is σ = 191621664. Its totient is φ = 11520000.

The previous prime is 48311993. The next prime is 48312001. The reversal of 48312000 is 21384.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48312001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 791970 + ... + 792030.

Almost surely, 2^48312000 is an apocalyptic number.

48312000 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 48312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95810832).

48312000 is an abundant number, since it is smaller than the sum of its proper divisors (143309664).

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

48312000 is a wasteful number, since it uses less digits than its factorization.

48312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 48312000 is about 6950.6834196358. The cubic root of 48312000 is about 364.2098375499.

Adding to 48312000 its reverse (21384), we get a palindrome (48333384).

The spelling of 48312000 in words is "forty-eight million, three hundred twelve thousand".