48742400 has 180 divisors, whose sum is σ = 146271888. Its totient is φ = 15728640.

The previous prime is 48742367. The next prime is 48742409. The reversal of 48742400 is 424784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48742409) 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, 2867192 + ... + 2867208.

Almost surely, 2^48742400 is an apocalyptic number.

48742400 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 48742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73135944).

48742400 is an abundant number, since it is smaller than the sum of its proper divisors (97529488).

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

48742400 is an equidigital number, since it uses as much as digits as its factorization.

48742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 48742400 is about 6981.5757533669. The cubic root of 48742400 is about 365.2881942324.

The spelling of 48742400 in words is "forty-eight million, seven hundred forty-two thousand, four hundred".