49056000 has 288 divisors, whose sum is σ = 188767488. Its totient is φ = 11059200.

The previous prime is 49055977. The next prime is 49056013. The reversal of 49056000 is 65094.

It is a super-2 number, since 2×49056000² = 4812982272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671964 + ... + 672036.

Almost surely, 2^49056000 is an apocalyptic number.

49056000 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 49056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94383744).

49056000 is an abundant number, since it is smaller than the sum of its proper divisors (139711488).

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

49056000 is an equidigital number, since it uses as much as digits as its factorization.

49056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 49056000 is about 7003.9988577955. The cubic root of 49056000 is about 366.0699200527.

The spelling of 49056000 in words is "forty-nine million, fifty-six thousand".