49361400 has 240 divisors, whose sum is σ = 187700040. Its totient is φ = 11923200.

The previous prime is 49361399. The next prime is 49361407. The reversal of 49361400 is 416394.

49361400 is a `hidden beast` number, since 49 + 3 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49361407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178062 + ... + 178338.

Almost surely, 2^49361400 is an apocalyptic number.

49361400 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 49361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93850020).

49361400 is an abundant number, since it is smaller than the sum of its proper divisors (138338640).

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

49361400 is a wasteful number, since it uses less digits than its factorization.

49361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49361400 is about 7025.7668620585. The cubic root of 49361400 is about 366.8280098024.

Adding to 49361400 its reverse (416394), we get a palindrome (49777794).

It can be divided in two parts, 4936 and 1400, that added together give a palindrome (6336).

The spelling of 49361400 in words is "forty-nine million, three hundred sixty-one thousand, four hundred".