48522400 has 72 divisors (see below), whose sum is σ = 119617344. Its totient is φ = 19219200.

The previous prime is 48522391. The next prime is 48522421. The reversal of 48522400 is 422584.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 104569 + ... + 105031.

It is an arithmetic number, because the mean of its divisors is an integer number (1661352).

Almost surely, 2^48522400 is an apocalyptic number.

48522400 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 48522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59808672).

48522400 is an abundant number, since it is smaller than the sum of its proper divisors (71094944).

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

48522400 is a wasteful number, since it uses less digits than its factorization.

48522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 48522400 is about 6965.8021792181. The cubic root of 48522400 is about 364.7377862768.

Adding to 48522400 its reverse (422584), we get a palindrome (48944984).

The spelling of 48522400 in words is "forty-eight million, five hundred twenty-two thousand, four hundred".