49089600 has 252 divisors, whose sum is σ = 199810624. Its totient is φ = 11197440.

The previous prime is 49089589. The next prime is 49089611. The reversal of 49089600 is 698094.

49089600 is a `hidden beast` number, since 49 + 0 + 8 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (49089589) and next prime (49089611).

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100557 + ... + 101043.

Almost surely, 2^49089600 is an apocalyptic number.

49089600 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 49089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99905312).

49089600 is an abundant number, since it is smaller than the sum of its proper divisors (150721024).

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

49089600 is a wasteful number, since it uses less digits than its factorization.

49089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49089600 is about 7006.3970769576. The cubic root of 49089600 is about 366.1534785856.

The spelling of 49089600 in words is "forty-nine million, eighty-nine thousand, six hundred".