49977840 has 120 divisors (see below), whose sum is σ = 170395344. Its totient is φ = 12108800.

The previous prime is 49977839. The next prime is 49977853. The reversal of 49977840 is 4877994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49977840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28180 + ... + 29900.

Almost surely, 2^49977840 is an apocalyptic number.

49977840 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 49977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85197672).

49977840 is an abundant number, since it is smaller than the sum of its proper divisors (120417504).

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

49977840 is a wasteful number, since it uses less digits than its factorization.

49977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 49977840 is about 7069.5006895820. The cubic root of 49977840 is about 368.3487163963.

The spelling of 49977840 in words is "forty-nine million, nine hundred seventy-seven thousand, eight hundred forty".