49267680 has 384 divisors, whose sum is σ = 204374016. Its totient is φ = 9676800.

The previous prime is 49267651. The next prime is 49267693. The reversal of 49267680 is 8676294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145739 + ... + 1145781.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 2^49267680 is an apocalyptic number.

49267680 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 49267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

49267680 is an abundant number, since it is smaller than the sum of its proper divisors (155106336).

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

49267680 is a wasteful number, since it uses less digits than its factorization.

49267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 49267680 is about 7019.0939586246. The cubic root of 49267680 is about 366.5957034387.

The spelling of 49267680 in words is "forty-nine million, two hundred sixty-seven thousand, six hundred eighty".