48740400 has 120 divisors (see below), whose sum is σ = 173518160. Its totient is φ = 12994560.

The previous prime is 48740399. The next prime is 48740407. The reversal of 48740400 is 404784.

48740400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48740407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8544 + ... + 13056.

Almost surely, 2^48740400 is an apocalyptic number.

48740400 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 48740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86759080).

48740400 is an abundant number, since it is smaller than the sum of its proper divisors (124777760).

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

48740400 is a wasteful number, since it uses less digits than its factorization.

48740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 48740400 is about 6981.4325177574. The cubic root of 48740400 is about 365.2831979911.

The spelling of 48740400 in words is "forty-eight million, seven hundred forty thousand, four hundred".