4602480 has 80 divisors (see below), whose sum is σ = 14475264. Its totient is φ = 1209600.

The previous prime is 4602463. The next prime is 4602487. The reversal of 4602480 is 842064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4602480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4602487) 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, 30405 + ... + 30555.

Almost surely, 2^4602480 is an apocalyptic number.

4602480 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 4602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237632).

4602480 is an abundant number, since it is smaller than the sum of its proper divisors (9872784).

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

4602480 is a wasteful number, since it uses less digits than its factorization.

4602480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4602480 is about 2145.3391340299. The cubic root of 4602480 is about 166.3402321717.

The spelling of 4602480 in words is "four million, six hundred two thousand, four hundred eighty".