48921600 has 396 divisors, whose sum is σ = 202554744. Its totient is φ = 10321920.

The previous prime is 48921583. The next prime is 48921629. The reversal of 48921600 is 612984.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 3763194 + ... + 3763206.

Almost surely, 2^48921600 is an apocalyptic number.

48921600 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 48921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101277372).

48921600 is an abundant number, since it is smaller than the sum of its proper divisors (153633144).

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

48921600 is a wasteful number, since it uses less digits than its factorization.

48921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 48921600 is about 6994.3977582062. The cubic root of 48921600 is about 365.7353038516.

The spelling of 48921600 in words is "forty-eight million, nine hundred twenty-one thousand, six hundred".