49360000 has 80 divisors (see below), whose sum is σ = 123077790. Its totient is φ = 19712000.

The previous prime is 49359991. The next prime is 49360009. The reversal of 49360000 is 6394.

It is an interprime number because it is at equal distance from previous prime (49359991) and next prime (49360009).

It can be written as a sum of positive squares in 5 ways, for example, as 1915456 + 47444544 = 1384^2 + 6888^2 .

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 (49360009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79692 + ... + 80308.

Almost surely, 2^49360000 is an apocalyptic number.

49360000 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 49360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61538895).

49360000 is an abundant number, since it is smaller than the sum of its proper divisors (73717790).

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

49360000 is an frugal number, since it uses more digits than its factorization.

49360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 49360000 is about 7025.6672281001. The cubic root of 49360000 is about 366.8245417479.

Adding to 49360000 its reverse (6394), we get a palindrome (49366394).

It can be divided in two parts, 49 and 360000, that multiplied together give a square (17640000 = 4200²).

The spelling of 49360000 in words is "forty-nine million, three hundred sixty thousand".