49248000 has 360 divisors, whose sum is σ = 192912720. Its totient is φ = 12441600.

The previous prime is 49247993. The next prime is 49248049. The reversal of 49248000 is 84294.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×49248000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591991 + ... + 2592009.

Almost surely, 2^49248000 is an apocalyptic number.

49248000 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 49248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96456360).

49248000 is an abundant number, since it is smaller than the sum of its proper divisors (143664720).

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

49248000 is an equidigital number, since it uses as much as digits as its factorization.

49248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 49248000 is about 7017.6919282625. The cubic root of 49248000 is about 366.5468846574.

The spelling of 49248000 in words is "forty-nine million, two hundred forty-eight thousand".