49064400 has 480 divisors, whose sum is σ = 221414400. Its totient is φ = 10022400.

The previous prime is 49064399. The next prime is 49064429. The reversal of 49064400 is 446094.

49064400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 831571 + ... + 831629.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^49064400 is an apocalyptic number.

49064400 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 49064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

49064400 is an abundant number, since it is smaller than the sum of its proper divisors (172350000).

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

49064400 is a wasteful number, since it uses less digits than its factorization.

49064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 49064400 is about 7004.5984895638. The cubic root of 49064400 is about 366.0908132620.

The spelling of 49064400 in words is "forty-nine million, sixty-four thousand, four hundred".