4646376 has 96 divisors (see below), whose sum is σ = 15048000. Its totient is φ = 1324512.

The previous prime is 4646371. The next prime is 4646381. The reversal of 4646376 is 6736464.

4646376 is a `hidden beast` number, since 4 + 646 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4646371) and next prime (4646381).

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 a self number, because there is not a number n which added to its sum of digits gives 4646376.

It is not an unprimeable number, because it can be changed into a prime (4646371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10365 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (156750).

Almost surely, 2^4646376 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 4646376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524000).

4646376 is an abundant number, since it is smaller than the sum of its proper divisors (10401624).

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

4646376 is a wasteful number, since it uses less digits than its factorization.

4646376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 4646376 is about 2155.5454066199. The cubic root of 4646376 is about 166.8673812959.

Subtracting from 4646376 its product of digits (72576), we obtain a triangular number (4573800 = T₃₀₂₄).

The spelling of 4646376 in words is "four million, six hundred forty-six thousand, three hundred seventy-six".