49400064 has 144 divisors (see below), whose sum is σ = 167117440. Its totient is φ = 14100480.

The previous prime is 49400059. The next prime is 49400083. The reversal of 49400064 is 46000494.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47874 + ... + 48894.

Almost surely, 2^49400064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83558720).

49400064 is an abundant number, since it is smaller than the sum of its proper divisors (117717376).

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

49400064 is a wasteful number, since it uses less digits than its factorization.

49400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

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

The square root of 49400064 is about 7028.5179092039. The cubic root of 49400064 is about 366.9237616562.

The spelling of 49400064 in words is "forty-nine million, four hundred thousand, sixty-four".