48798400 has 84 divisors (see below), whose sum is σ = 137259568. Its totient is φ = 16727040.

The previous prime is 48798397. The next prime is 48798401. The reversal of 48798400 is 489784.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48798401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9022 + ... + 13378.

Almost surely, 2^48798400 is an apocalyptic number.

48798400 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 48798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68629784).

48798400 is an abundant number, since it is smaller than the sum of its proper divisors (88461168).

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

48798400 is a wasteful number, since it uses less digits than its factorization.

48798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 48798400 is about 6985.5851580236. The cubic root of 48798400 is about 365.4280335364.

The spelling of 48798400 in words is "forty-eight million, seven hundred ninety-eight thousand, four hundred".