49351680 has 440 divisors, whose sum is σ = 214001568. Its totient is φ = 10616832.

The previous prime is 49351669. The next prime is 49351691. The reversal of 49351680 is 8615394.

49351680 is a `hidden beast` number, since 493 + 5 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49351669) and next prime (49351691).

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

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, 2903032 + ... + 2903048.

Almost surely, 2^49351680 is an apocalyptic number.

49351680 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 49351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000784).

49351680 is an abundant number, since it is smaller than the sum of its proper divisors (164649888).

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

49351680 is a wasteful number, since it uses less digits than its factorization.

49351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 49351680 is about 7025.0750885667. The cubic root of 49351680 is about 366.8039302428.

The spelling of 49351680 in words is "forty-nine million, three hundred fifty-one thousand, six hundred eighty".