4742880 has 96 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1228800.

The previous prime is 4742873. The next prime is 4742887. The reversal of 4742880 is 882474.

It is an interprime number because it is at equal distance from previous prime (4742873) and next prime (4742887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19560 + ... + 19800.

It is an arithmetic number, because the mean of its divisors is an integer number (160083).

Almost surely, 2^4742880 is an apocalyptic number.

4742880 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 4742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

4742880 is an abundant number, since it is smaller than the sum of its proper divisors (10625088).

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

4742880 is a wasteful number, since it uses less digits than its factorization.

4742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4742880 is about 2177.8154191758. The cubic root of 4742880 is about 168.0147379361.

The spelling of 4742880 in words is "four million, seven hundred forty-two thousand, eight hundred eighty".