49533120 has 504 divisors, whose sum is σ = 221339664. Its totient is φ = 10450944.

The previous prime is 49533103. The next prime is 49533137. The reversal of 49533120 is 2133594.

49533120 is a `hidden beast` number, since 4 + 9 + 533 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (49533103) and next prime (49533137).

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3810234 + ... + 3810246.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 2^49533120 is an apocalyptic number.

49533120 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 49533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

49533120 is an abundant number, since it is smaller than the sum of its proper divisors (171806544).

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

49533120 is a wasteful number, since it uses less digits than its factorization.

49533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 49533120 is about 7037.9769820595. The cubic root of 49533120 is about 367.2528951098.

The spelling of 49533120 in words is "forty-nine million, five hundred thirty-three thousand, one hundred twenty".