49029120 has 336 divisors, whose sum is σ = 204459840. Its totient is φ = 10616832.

The previous prime is 49029061. The next prime is 49029151. The reversal of 49029120 is 2192094.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580471 + ... + 2580489.

Almost surely, 2^49029120 is an apocalyptic number.

49029120 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 49029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102229920).

49029120 is an abundant number, since it is smaller than the sum of its proper divisors (155430720).

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

49029120 is a wasteful number, since it uses less digits than its factorization.

49029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49029120 is about 7002.0796910632. The cubic root of 49029120 is about 366.0030457509.

The spelling of 49029120 in words is "forty-nine million, twenty-nine thousand, one hundred twenty".