49006464 has 64 divisors (see below), whose sum is σ = 140201040. Its totient is φ = 15077376.

The previous prime is 49006457. The next prime is 49006469. The reversal of 49006464 is 46460094.

49006464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49006469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 9900.

Almost surely, 2^49006464 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 49006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70100520).

49006464 is an abundant number, since it is smaller than the sum of its proper divisors (91194576).

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

49006464 is a wasteful number, since it uses less digits than its factorization.

49006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 49006464 is about 7000.4616990596. The cubic root of 49006464 is about 365.9466612826.

The spelling of 49006464 in words is "forty-nine million, six thousand, four hundred sixty-four".