49150800 has 300 divisors, whose sum is σ = 185584476. Its totient is φ = 12441600.

The previous prime is 49150799. The next prime is 49150813. The reversal of 49150800 is 805194.

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 47279376 = 1368^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×49150800² = 4831602281280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198780 + ... + 1198820.

Almost surely, 2^49150800 is an apocalyptic number.

49150800 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 49150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92792238).

49150800 is an abundant number, since it is smaller than the sum of its proper divisors (136433676).

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

49150800 is a wasteful number, since it uses less digits than its factorization.

49150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 49150800 is about 7010.7631538942. The cubic root of 49150800 is about 366.3055765661.

Adding to 49150800 its reverse (805194), we get a palindrome (49955994).

The spelling of 49150800 in words is "forty-nine million, one hundred fifty thousand, eight hundred".