49662000 has 240 divisors, whose sum is σ = 181059840. Its totient is φ = 12672000.

The previous prime is 49661999. The next prime is 49662001. The reversal of 49662000 is 26694.

It is an interprime number because it is at equal distance from previous prime (49661999) and next prime (49662001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49662001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557956 + ... + 558044.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^49662000 is an apocalyptic number.

49662000 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 49662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

49662000 is an abundant number, since it is smaller than the sum of its proper divisors (131397840).

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

49662000 is a wasteful number, since it uses less digits than its factorization.

49662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49662000 is about 7047.1270742055. The cubic root of 49662000 is about 367.5711371384.

Adding to 49662000 its reverse (26694), we get a palindrome (49688694).

The spelling of 49662000 in words is "forty-nine million, six hundred sixty-two thousand".