48929252400 has 1440 divisors, whose sum is σ = 217606072320. Its totient is φ = 9934848000.

The previous prime is 48929252369. The next prime is 48929252401. The reversal of 48929252400 is 425292984.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48929252401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 689144365 + ... + 689144435.

It is an arithmetic number, because the mean of its divisors is an integer number (151115328).

Almost surely, 2^48929252400 is an apocalyptic number.

48929252400 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 48929252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108803036160).

48929252400 is an abundant number, since it is smaller than the sum of its proper divisors (168676819920).

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

48929252400 is a wasteful number, since it uses less digits than its factorization.

48929252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48929252400 in words is "forty-eight billion, nine hundred twenty-nine million, two hundred fifty-two thousand, four hundred".