49005978 has 96 divisors (see below), whose sum is σ = 124323840. Its totient is φ = 12791520.

The previous prime is 49005967. The next prime is 49006003. The reversal of 49005978 is 87950094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173025 + ... + 173307.

It is an arithmetic number, because the mean of its divisors is an integer number (1295040).

Almost surely, 2^49005978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49005978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62161920).

49005978 is an abundant number, since it is smaller than the sum of its proper divisors (75317862).

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

49005978 is a wasteful number, since it uses less digits than its factorization.

49005978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 49005978 is about 7000.4269869773. The cubic root of 49005978 is about 365.9454515737.

It can be divided in two parts, 4900 and 5978, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 49005978 in words is "forty-nine million, five thousand, nine hundred seventy-eight".