4702464 has 108 divisors (see below), whose sum is σ = 14694316. Its totient is φ = 1437696.

The previous prime is 4702433. The next prime is 4702469. The reversal of 4702464 is 4642074.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 3686400 = 1008^2 + 1920^2 .

It is a super-2 number, since 2×4702464² = 44226335342592, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4702469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29874 + ... + 30030.

Almost surely, 2^4702464 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 4702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347158).

4702464 is an abundant number, since it is smaller than the sum of its proper divisors (9991852).

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

4702464 is a wasteful number, since it uses less digits than its factorization.

4702464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4702464 is about 2168.5165436307. The cubic root of 4702464 is about 167.5361353686.

The spelling of 4702464 in words is "four million, seven hundred two thousand, four hundred sixty-four".