4877893440 has 448 divisors, whose sum is σ = 20014387200. Its totient is φ = 1095247872.

The previous prime is 4877893439. The next prime is 4877893459. The reversal of 4877893440 is 443987784.

4877893440 is a `hidden beast` number, since 48 + 7 + 78 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3567637 + ... + 3569003.

Almost surely, 2^4877893440 is an apocalyptic number.

4877893440 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 4877893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007193600).

4877893440 is an abundant number, since it is smaller than the sum of its proper divisors (15136493760).

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

4877893440 is a wasteful number, since it uses less digits than its factorization.

4877893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4877893440 is about 69841.9174994501. The cubic root of 4877893440 is about 1695.9411172746.

The spelling of 4877893440 in words is "four billion, eight hundred seventy-seven million, eight hundred ninety-three thousand, four hundred forty".