4742080 has 112 divisors (see below), whose sum is σ = 13533120. Its totient is φ = 1548288.

The previous prime is 4742063. The next prime is 4742081. The reversal of 4742080 is 802474.

4742080 = T₁₄₁ + T₁₄₂ + ... + T₃₁₄.

4742080 = 218² + 219² + ... + 290².

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742081) 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, 64924 + ... + 64996.

Almost surely, 2^4742080 is an apocalyptic number.

4742080 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 4742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766560).

4742080 is an abundant number, since it is smaller than the sum of its proper divisors (8791040).

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

4742080 is a wasteful number, since it uses less digits than its factorization.

4742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4742080 is about 2177.6317411353. The cubic root of 4742080 is about 168.0052908387.

The spelling of 4742080 in words is "four million, seven hundred forty-two thousand, eighty".