49713600 has 84 divisors (see below), whose sum is σ = 163117784. Its totient is φ = 13255680.

The previous prime is 49713589. The next prime is 49713611. The reversal of 49713600 is 631794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49713589) and next prime (49713611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379 + ... + 9978.

Almost surely, 2^49713600 is an apocalyptic number.

49713600 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 49713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81558892).

49713600 is an abundant number, since it is smaller than the sum of its proper divisors (113404184).

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

49713600 is a wasteful number, since it uses less digits than its factorization.

49713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 49713600 is about 7050.7871900945. The cubic root of 49713600 is about 367.6983981262.

The spelling of 49713600 in words is "forty-nine million, seven hundred thirteen thousand, six hundred".