49212800 has 192 divisors, whose sum is σ = 150511200. Its totient is φ = 15575040.

The previous prime is 49212799. The next prime is 49212803. The reversal of 49212800 is 821294.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 49212800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49212803) 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, 3785594 + ... + 3785606.

Almost surely, 2^49212800 is an apocalyptic number.

49212800 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 49212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75255600).

49212800 is an abundant number, since it is smaller than the sum of its proper divisors (101298400).

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

49212800 is an equidigital number, since it uses as much as digits as its factorization.

49212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 49212800 is about 7015.1835328807. The cubic root of 49212800 is about 366.4595340674.

The spelling of 49212800 in words is "forty-nine million, two hundred twelve thousand, eight hundred".