49502400 has 84 divisors (see below), whose sum is σ = 162424872. Its totient is φ = 13199360.

The previous prime is 49502399. The next prime is 49502413. The reversal of 49502400 is 420594.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 357 + ... + 9956.

Almost surely, 2^49502400 is an apocalyptic number.

49502400 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 49502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81212436).

49502400 is an abundant number, since it is smaller than the sum of its proper divisors (112922472).

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

49502400 is a wasteful number, since it uses less digits than its factorization.

49502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 49502400 is about 7035.7941982409. The cubic root of 49502400 is about 367.1769570837.

Adding to 49502400 its reverse (420594), we get a palindrome (49922994).

The spelling of 49502400 in words is "forty-nine million, five hundred two thousand, four hundred".