4777416 has 48 divisors (see below), whose sum is σ = 14788800. Its totient is φ = 1364832.

The previous prime is 4777363. The next prime is 4777433. The reversal of 4777416 is 6147774.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4236 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (308100).

Almost surely, 2^4777416 is an apocalyptic number.

It is an amenable number.

4777416 is an abundant number, since it is smaller than the sum of its proper divisors (10011384).

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

4777416 is a wasteful number, since it uses less digits than its factorization.

4777416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9491 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 4777416 is about 2185.7300839765. The cubic root of 4777416 is about 168.4215603466.

The spelling of 4777416 in words is "four million, seven hundred seventy-seven thousand, four hundred sixteen".