7488432 has 240 divisors, whose sum is σ = 27855360. Its totient is φ = 1824768.

The previous prime is 7488431. The next prime is 7488433. The reversal of 7488432 is 2348847.

It is an interprime number because it is at equal distance from previous prime (7488431) and next prime (7488433).

It is a super-2 number, since 2×7488432² = 112153227637248, which contains 22 as substring.

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 d-powerful number, because it can be written as 7⁵ + 4¹⁰ + 8³ + 8⁷ + 4¹¹ + 3² + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (7488431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325573 + ... + 325595.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^7488432 is an apocalyptic number.

7488432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is a pronic number, being equal to 2736×2737.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

7488432 is an abundant number, since it is smaller than the sum of its proper divisors (20366928).

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

7488432 is a wasteful number, since it uses less digits than its factorization.

7488432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 7488432 is about 2736.4999543212. The cubic root of 7488432 is about 195.6426920751.

It can be divided in two parts, 748 and 8432, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 7488432 in words is "seven million, four hundred eighty-eight thousand, four hundred thirty-two".