49084920 has 128 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 12797568.

The previous prime is 49084901. The next prime is 49084939. The reversal of 49084920 is 2948094.

It is a happy number.

49084920 is a `hidden beast` number, since 490 + 84 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49084901) and next prime (49084939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50277 + ... + 51243.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800).

Almost surely, 2^49084920 is an apocalyptic number.

49084920 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 49084920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

49084920 is an abundant number, since it is smaller than the sum of its proper divisors (118185480).

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

49084920 is a wasteful number, since it uses less digits than its factorization.

49084920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49084920 is about 7006.0630884970. The cubic root of 49084920 is about 366.1418423617.

The spelling of 49084920 in words is "forty-nine million, eighty-four thousand, nine hundred twenty".