49188480 has 256 divisors, whose sum is σ = 182424960. Its totient is φ = 11141120.

The previous prime is 49188457. The next prime is 49188499. The reversal of 49188480 is 8488194.

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, 358972 + ... + 359108.

Almost surely, 2^49188480 is an apocalyptic number.

49188480 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 49188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91212480).

49188480 is an abundant number, since it is smaller than the sum of its proper divisors (133236480).

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

49188480 is a wasteful number, since it uses less digits than its factorization.

49188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 49188480 is about 7013.4499356593. The cubic root of 49188480 is about 366.3991584174.

The spelling of 49188480 in words is "forty-nine million, one hundred eighty-eight thousand, four hundred eighty".