4791360 has 224 divisors, whose sum is σ = 18726912. Its totient is φ = 1013760.

The previous prime is 4791343. The next prime is 4791373. The reversal of 4791360 is 631974.

4791360 = T₁₅₉ + T₁₆₀ + ... + T₃₁₉.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154545 + ... + 154575.

Almost surely, 2^4791360 is an apocalyptic number.

4791360 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 4791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363456).

4791360 is an abundant number, since it is smaller than the sum of its proper divisors (13935552).

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

4791360 is a wasteful number, since it uses less digits than its factorization.

4791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 4791360 is about 2188.9175407036. The cubic root of 4791360 is about 168.5852603526.

It can be divided in two parts, 4791 and 360, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 4791360 in words is "four million, seven hundred ninety-one thousand, three hundred sixty".