49065600 has 192 divisors, whose sum is σ = 170748000. Its totient is φ = 12349440.

The previous prime is 49065547. The next prime is 49065629. The reversal of 49065600 is 656094.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182266 + ... + 182534.

Almost surely, 2^49065600 is an apocalyptic number.

49065600 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 49065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

49065600 is an abundant number, since it is smaller than the sum of its proper divisors (121682400).

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

49065600 is a wasteful number, since it uses less digits than its factorization.

49065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 49065600 is about 7004.6841470547. The cubic root of 49065600 is about 366.0937978116.

The spelling of 49065600 in words is "forty-nine million, sixty-five thousand, six hundred".