49632800 has 72 divisors (see below), whose sum is σ = 138491136. Its totient is φ = 17015040.

The previous prime is 49632797. The next prime is 49632811. The reversal of 49632800 is 823694.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1169 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (1923488).

Almost surely, 2^49632800 is an apocalyptic number.

49632800 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 49632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69245568).

49632800 is an abundant number, since it is smaller than the sum of its proper divisors (88858336).

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

49632800 is a wasteful number, since it uses less digits than its factorization.

49632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 49632800 is about 7045.0550033339. The cubic root of 49632800 is about 367.4990821703.

The spelling of 49632800 in words is "forty-nine million, six hundred thirty-two thousand, eight hundred".