49598400 has 84 divisors (see below), whose sum is σ = 162739832. Its totient is φ = 13224960.

The previous prime is 49598383. The next prime is 49598413. The reversal of 49598400 is 489594.

It is a congruent number.

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, 367 + ... + 9966.

Almost surely, 2^49598400 is an apocalyptic number.

49598400 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 49598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369916).

49598400 is an abundant number, since it is smaller than the sum of its proper divisors (113141432).

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

49598400 is a wasteful number, since it uses less digits than its factorization.

49598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 49598400 is about 7042.6131513807. The cubic root of 49598400 is about 367.4141592280.

The spelling of 49598400 in words is "forty-nine million, five hundred ninety-eight thousand, four hundred".