4457376 has 192 divisors, whose sum is σ = 16450560. Its totient is φ = 1140480.

The previous prime is 4457371. The next prime is 4457389. The reversal of 4457376 is 6737544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 5³ + 7³ + 3⁴ + 7³ + 6² .

Its product of digits (70560) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 4457376.

It is not an unprimeable number, because it can be changed into a prime (4457371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66495 + ... + 66561.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

Almost surely, 2^4457376 is an apocalyptic number.

4457376 is the 1056-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

4457376 is an abundant number, since it is smaller than the sum of its proper divisors (11993184).

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

4457376 is a wasteful number, since it uses less digits than its factorization.

4457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 4457376 is about 2111.2498667851. The cubic root of 4457376 is about 164.5734436757.

The spelling of 4457376 in words is "four million, four hundred fifty-seven thousand, three hundred seventy-six".