48492864 has 224 divisors, whose sum is σ = 172313600. Its totient is φ = 13063680.

The previous prime is 48492859. The next prime is 48492869. The reversal of 48492864 is 46829484.

48492864 is a `hidden beast` number, since 484 + 92 + 86 + 4 = 666.

48492864 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (48492859) and next prime (48492869).

It is a tau number, because it is divible by the number of its divisors (224).

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 (48492869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229719 + ... + 229929.

Almost surely, 2^48492864 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 48492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86156800).

48492864 is an abundant number, since it is smaller than the sum of its proper divisors (123820736).

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

48492864 is a wasteful number, since it uses less digits than its factorization.

48492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48492864 is about 6963.6817848032. The cubic root of 48492864 is about 364.6637649186.

The spelling of 48492864 in words is "forty-eight million, four hundred ninety-two thousand, eight hundred sixty-four".