4864464 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1416960.

The previous prime is 4864451. The next prime is 4864493. The reversal of 4864464 is 4644684.

4864464 is a `hidden beast` number, since 4 + 8 + 644 + 6 + 4 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58567 + ... + 58649.

Almost surely, 2^4864464 is an apocalyptic number.

4864464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4864464 is an abundant number, since it is smaller than the sum of its proper divisors (10572048).

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

4864464 is a wasteful number, since it uses less digits than its factorization.

4864464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4864464 is about 2205.5529918821. The cubic root of 4864464 is about 169.4383308692.

It can be divided in two parts, 486 and 4464, that added together give a triangular number (4950 = T₉₉).

The spelling of 4864464 in words is "four million, eight hundred sixty-four thousand, four hundred sixty-four".