4077948 has 48 divisors (see below), whose sum is σ = 11137280. Its totient is φ = 1137024.

The previous prime is 4077947. The next prime is 4077949. The reversal of 4077948 is 8497704.

It is an interprime number because it is at equal distance from previous prime (4077947) and next prime (4077949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077947) 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, 3048 + ... + 4176.

Almost surely, 2^4077948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568640).

4077948 is an abundant number, since it is smaller than the sum of its proper divisors (7059332).

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

4077948 is a wasteful number, since it uses less digits than its factorization.

4077948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 4077948 is about 2019.3929781001. The cubic root of 4077948 is about 159.7646017594.

The spelling of 4077948 in words is "four million, seventy-seven thousand, nine hundred forty-eight".