4612464 has 50 divisors (see below), whose sum is σ = 13353560. Its totient is φ = 1537056.

The previous prime is 4612451. The next prime is 4612477. The reversal of 4612464 is 4642164.

4612464 is a `hidden beast` number, since 4 + 612 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4612451) and next prime (4612477).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 484 + ... + 3075.

Almost surely, 2^4612464 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 4612464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676780).

4612464 is an abundant number, since it is smaller than the sum of its proper divisors (8741096).

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

4612464 is a wasteful number, since it uses less digits than its factorization.

4612464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3564 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4612464 is about 2147.6647783116. The cubic root of 4612464 is about 166.4604240002.

The spelling of 4612464 in words is "four million, six hundred twelve thousand, four hundred sixty-four".