4202464 has 48 divisors (see below), whose sum is σ = 9622368. Its totient is φ = 1769472.

The previous prime is 4202461. The next prime is 4202467. The reversal of 4202464 is 4642024.

It is an interprime number because it is at equal distance from previous prime (4202461) and next prime (4202467).

It is a d-powerful number, because it can be written as 4³ + 2²¹ + 0 + 2²¹ + 4³ + 6⁵ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16224 + ... + 16480.

It is an arithmetic number, because the mean of its divisors is an integer number (200466).

Almost surely, 2^4202464 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 4202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811184).

4202464 is an abundant number, since it is smaller than the sum of its proper divisors (5419904).

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

4202464 is a wasteful number, since it uses less digits than its factorization.

4202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4202464 is about 2049.9912194934. The cubic root of 4202464 is about 161.3744099279.

Adding to 4202464 its reverse (4642024), we get a palindrome (8844488).

The spelling of 4202464 in words is "four million, two hundred two thousand, four hundred sixty-four".