48462144 has 56 divisors (see below), whose sum is σ = 129052320. Its totient is φ = 16049664.

The previous prime is 48462109. The next prime is 48462149. The reversal of 48462144 is 44126484.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48462149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32487 + ... + 33945.

Almost surely, 2^48462144 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 48462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64526160).

48462144 is an abundant number, since it is smaller than the sum of its proper divisors (80590176).

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

48462144 is a wasteful number, since it uses less digits than its factorization.

48462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 48462144 is about 6961.4757056245. The cubic root of 48462144 is about 364.5867443955.

The spelling of 48462144 in words is "forty-eight million, four hundred sixty-two thousand, one hundred forty-four".