4920480 has 192 divisors, whose sum is σ = 18506880. Its totient is φ = 1216512.

The previous prime is 4920473. The next prime is 4920493. The reversal of 4920480 is 840294.

It is a super-2 number, since 2×4920480² = 48422246860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73407 + ... + 73473.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 2^4920480 is an apocalyptic number.

4920480 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 4920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

4920480 is an abundant number, since it is smaller than the sum of its proper divisors (13586400).

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

4920480 is a wasteful number, since it uses less digits than its factorization.

4920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4920480 is about 2218.2154989991. The cubic root of 4920480 is about 170.0862307627.

It can be divided in two parts, 49204 and 80, that added together give a square (49284 = 222²).

The spelling of 4920480 in words is "four million, nine hundred twenty thousand, four hundred eighty".