48462500 has 36 divisors (see below), whose sum is σ = 106032276. Its totient is φ = 19380000.

The previous prime is 48462497. The next prime is 48462503. The reversal of 48462500 is 526484.

It is an interprime number because it is at equal distance from previous prime (48462497) and next prime (48462503).

It can be written as a sum of positive squares in 6 ways, for example, as 44169316 + 4293184 = 6646^2 + 2072^2 .

It is a super-2 number, since 2×48462500² = 4697227812500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48462503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10562 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (2945341).

Almost surely, 2^48462500 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 48462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53016138).

48462500 is an abundant number, since it is smaller than the sum of its proper divisors (57569776).

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

48462500 is an equidigital number, since it uses as much as digits as its factorization.

48462500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 48462500 is about 6961.5012748688. The cubic root of 48462500 is about 364.5876371374.

Adding to 48462500 its reverse (526484), we get a palindrome (48988984).

It can be divided in two parts, 484 and 62500, that multiplied together give a square (30250000 = 5500²).

The spelling of 48462500 in words is "forty-eight million, four hundred sixty-two thousand, five hundred".