4780458720 has 72 divisors (see below), whose sum is σ = 16313320296. Its totient is φ = 1274788608.

The previous prime is 4780458679. The next prime is 4780458721. The reversal of 4780458720 is 278540874.

4780458720 is a `hidden beast` number, since 47 + 8 + 0 + 4 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780458721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1658442 + ... + 1661321.

It is an arithmetic number, because the mean of its divisors is an integer number (226573893).

Almost surely, 2^4780458720 is an apocalyptic number.

4780458720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4780458720 is an abundant number, since it is smaller than the sum of its proper divisors (11532861576).

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

4780458720 is a wasteful number, since it uses less digits than its factorization.

4780458720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319784 (or 3319773 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4780458720 is about 69140.8614351890. The cubic root of 4780458720 is about 1684.5730846469.

The spelling of 4780458720 in words is "four billion, seven hundred eighty million, four hundred fifty-eight thousand, seven hundred twenty".