49742400 has 168 divisors, whose sum is σ = 167684704. Its totient is φ = 12902400.

The previous prime is 49742351. The next prime is 49742411. The reversal of 49742400 is 424794.

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, 206280 + ... + 206520.

Almost surely, 2^49742400 is an apocalyptic number.

49742400 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 49742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83842352).

49742400 is an abundant number, since it is smaller than the sum of its proper divisors (117942304).

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

49742400 is a wasteful number, since it uses less digits than its factorization.

49742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 49742400 is about 7052.8292195402. The cubic root of 49742400 is about 367.7693892271.

The spelling of 49742400 in words is "forty-nine million, seven hundred forty-two thousand, four hundred".