49418400 has 144 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 12917760.

The previous prime is 49418393. The next prime is 49418423. The reversal of 49418400 is 481494.

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, 141426 + ... + 141774.

It is an arithmetic number, because the mean of its divisors is an integer number (1139250).

Almost surely, 2^49418400 is an apocalyptic number.

49418400 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 49418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

49418400 is an abundant number, since it is smaller than the sum of its proper divisors (114633600).

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

49418400 is a wasteful number, since it uses less digits than its factorization.

49418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 49418400 is about 7029.8221883629. The cubic root of 49418400 is about 366.9691535127.

Adding to 49418400 its reverse (481494), we get a palindrome (49899894).

The spelling of 49418400 in words is "forty-nine million, four hundred eighteen thousand, four hundred".