4968432 has 160 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1347840.

The previous prime is 4968427. The next prime is 4968473. The reversal of 4968432 is 2348694.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an Ulam number.

It is a d-powerful number, because it can be written as 4² + 9⁷ + 6² + 8 + 4³ + 3¹¹ + 2¹³ .

Its product of digits (41472) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93718 + ... + 93770.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^4968432 is an apocalyptic number.

4968432 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 4968432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4968432 is an abundant number, since it is smaller than the sum of its proper divisors (12173328).

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

4968432 is a wasteful number, since it uses less digits than its factorization.

4968432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4968432 is about 2228.9979811566. The cubic root of 4968432 is about 170.6369645034.

The spelling of 4968432 in words is "four million, nine hundred sixty-eight thousand, four hundred thirty-two".