4617480 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1005312.

The previous prime is 4617479. The next prime is 4617493. The reversal of 4617480 is 847164.

It is a super-2 number, since 2×4617480² = 42642243100800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19201 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 2^4617480 is an apocalyptic number.

4617480 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 4617480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

4617480 is an abundant number, since it is smaller than the sum of its proper divisors (11971320).

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

4617480 is a wasteful number, since it uses less digits than its factorization.

4617480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4617480 is about 2148.8322410091. The cubic root of 4617480 is about 166.5207433868.

The spelling of 4617480 in words is "four million, six hundred seventeen thousand, four hundred eighty".