49024640 has 128 divisors (see below), whose sum is σ = 138654720. Its totient is φ = 16220160.

The previous prime is 49024639. The next prime is 49024649. The reversal of 49024640 is 4642094.

49024640 = T₃₀₁ + T₃₀₂ + ... + T₆₈₄.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49024649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138704 + ... + 139056.

It is an arithmetic number, because the mean of its divisors is an integer number (1083240).

Almost surely, 2^49024640 is an apocalyptic number.

49024640 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 49024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69327360).

49024640 is an abundant number, since it is smaller than the sum of its proper divisors (89630080).

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

49024640 is a wasteful number, since it uses less digits than its factorization.

49024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 49024640 is about 7001.7597787985. The cubic root of 49024640 is about 365.9918976577.

The spelling of 49024640 in words is "forty-nine million, twenty-four thousand, six hundred forty".