4462752 has 96 divisors (see below), whose sum is σ = 13910400. Its totient is φ = 1225728.

The previous prime is 4462751. The next prime is 4462753. The reversal of 4462752 is 2572644.

It is an interprime number because it is at equal distance from previous prime (4462751) and next prime (4462753).

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 4⁵ + 4⁶ + 6³ + 2¹⁸ + 7³ + 5⁴ + 2²² .

It is not an unprimeable number, because it can be changed into a prime (4462751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19374 + ... + 19602.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

Almost surely, 2^4462752 is an apocalyptic number.

4462752 is a gapful number since it is divisible by the number (42) 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 4462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955200).

4462752 is an abundant number, since it is smaller than the sum of its proper divisors (9447648).

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

4462752 is a wasteful number, since it uses less digits than its factorization.

4462752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 4462752 is about 2112.5226626003. The cubic root of 4462752 is about 164.6395805970.

The spelling of 4462752 in words is "four million, four hundred sixty-two thousand, seven hundred fifty-two".