49085400 has 384 divisors, whose sum is σ = 199987200. Its totient is φ = 9676800.

The previous prime is 49085389. The next prime is 49085401. The reversal of 49085400 is 458094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49085401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1583385 + ... + 1583415.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^49085400 is an apocalyptic number.

49085400 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 49085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

49085400 is an abundant number, since it is smaller than the sum of its proper divisors (150901800).

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

49085400 is a wasteful number, since it uses less digits than its factorization.

49085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 49085400 is about 7006.0973444565. The cubic root of 49085400 is about 366.1430358546.

The spelling of 49085400 in words is "forty-nine million, eighty-five thousand, four hundred".