48462336 has 120 divisors (see below), whose sum is σ = 150810660. Its totient is φ = 14893056.

The previous prime is 48462329. The next prime is 48462343. The reversal of 48462336 is 63326484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48462329) and next prime (48462343).

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 20736 = 6960^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48462336.

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, 59500 + ... + 60308.

Almost surely, 2^48462336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75405330).

48462336 is an abundant number, since it is smaller than the sum of its proper divisors (102348324).

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

48462336 is a wasteful number, since it uses less digits than its factorization.

48462336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 827 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 48462336 is about 6961.4894957904. The cubic root of 48462336 is about 364.5872258748.

The spelling of 48462336 in words is "forty-eight million, four hundred sixty-two thousand, three hundred thirty-six".