49638000 has 80 divisors (see below), whose sum is σ = 160052256. Its totient is φ = 13235200.

The previous prime is 49637993. The next prime is 49638007. The reversal of 49638000 is 83694.

It is an interprime number because it is at equal distance from previous prime (49637993) and next prime (49638007).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49638007) 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, 1864 + ... + 10136.

Almost surely, 2^49638000 is an apocalyptic number.

49638000 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 49638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80026128).

49638000 is an abundant number, since it is smaller than the sum of its proper divisors (110414256).

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

49638000 is a wasteful number, since it uses less digits than its factorization.

49638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 49638000 is about 7045.4240468548. The cubic root of 49638000 is about 367.5119159448.

The spelling of 49638000 in words is "forty-nine million, six hundred thirty-eight thousand".