49862400 has 324 divisors, whose sum is σ = 195034392. Its totient is φ = 11182080.

The previous prime is 49862389. The next prime is 49862401. The reversal of 49862400 is 426894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49862401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940774 + ... + 940826.

It is an arithmetic number, because the mean of its divisors is an integer number (601958).

Almost surely, 2^49862400 is an apocalyptic number.

49862400 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 49862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97517196).

49862400 is an abundant number, since it is smaller than the sum of its proper divisors (145171992).

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

49862400 is a wasteful number, since it uses less digits than its factorization.

49862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 49862400 is about 7061.3313192344. The cubic root of 49862400 is about 368.0648908883.

The spelling of 49862400 in words is "forty-nine million, eight hundred sixty-two thousand, four hundred".