48929600 has 84 divisors (see below), whose sum is σ = 122881644. Its totient is φ = 19169280.

The previous prime is 48929599. The next prime is 48929611. The reversal of 48929600 is 692984.

It can be written as a sum of positive squares in 6 ways, for example, as 4946176 + 43983424 = 2224^2 + 6632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84512 + ... + 85088.

Almost surely, 2^48929600 is an apocalyptic number.

48929600 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 48929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61440822).

48929600 is an abundant number, since it is smaller than the sum of its proper divisors (73952044).

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

48929600 is a wasteful number, since it uses less digits than its factorization.

48929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 48929600 is about 6994.9696210920. The cubic root of 48929600 is about 365.7552386245.

The spelling of 48929600 in words is "forty-eight million, nine hundred twenty-nine thousand, six hundred".