4077480 has 64 divisors (see below), whose sum is σ = 13348800. Its totient is φ = 988160.

The previous prime is 4077473. The next prime is 4077481. The reversal of 4077480 is 847704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (208575).

Almost surely, 2^4077480 is an apocalyptic number.

4077480 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 4077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674400).

4077480 is an abundant number, since it is smaller than the sum of its proper divisors (9271320).

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

4077480 is a wasteful number, since it uses less digits than its factorization.

4077480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4077480 is about 2019.2770983696. The cubic root of 4077480 is about 159.7584898052.

It can be divided in two parts, 407 and 7480, that added together give a palindrome (7887).

The spelling of 4077480 in words is "four million, seventy-seven thousand, four hundred eighty".