49314800 has 120 divisors (see below), whose sum is σ = 126575232. Its totient is φ = 18432000.

The previous prime is 49314791. The next prime is 49314809. The reversal of 49314800 is 841394.

It is an interprime number because it is at equal distance from previous prime (49314791) and next prime (49314809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49314809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508352 + ... + 508448.

Almost surely, 2^49314800 is an apocalyptic number.

49314800 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 49314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63287616).

49314800 is an abundant number, since it is smaller than the sum of its proper divisors (77260432).

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

49314800 is a wasteful number, since it uses less digits than its factorization.

49314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 49314800 is about 7022.4497150211. The cubic root of 49314800 is about 366.7125378791.

The spelling of 49314800 in words is "forty-nine million, three hundred fourteen thousand, eight hundred".