49758000 has 80 divisors (see below), whose sum is σ = 160439136. Its totient is φ = 13267200.

The previous prime is 49757971. The next prime is 49758001. The reversal of 49758000 is 85794.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (49758001) 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, 1854 + ... + 10146.

Almost surely, 2^49758000 is an apocalyptic number.

49758000 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 49758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80219568).

49758000 is an abundant number, since it is smaller than the sum of its proper divisors (110681136).

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

49758000 is a wasteful number, since it uses less digits than its factorization.

49758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 49758000 is about 7053.9350720006. The cubic root of 49758000 is about 367.8078312995.

The spelling of 49758000 in words is "forty-nine million, seven hundred fifty-eight thousand".