4532797440 has 408 divisors, whose sum is σ = 16562131560. Its totient is φ = 1145044992.

The previous prime is 4532797439. The next prime is 4532797447. The reversal of 4532797440 is 447972354.

4532797440 is a `hidden beast` number, since 4 + 532 + 7 + 9 + 74 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 851705856 + 3681091584 = 29184^2 + 60672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532797447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85524454 + ... + 85524506.

Almost surely, 2^4532797440 is an apocalyptic number.

4532797440 is a gapful number since it is divisible by the number (40) 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 4532797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281065780).

4532797440 is an abundant number, since it is smaller than the sum of its proper divisors (12029334120).

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

4532797440 is an equidigital number, since it uses as much as digits as its factorization.

4532797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4532797440 is about 67326.0532037933. The cubic root of 4532797440 is about 1654.9648364973.

The spelling of 4532797440 in words is "four billion, five hundred thirty-two million, seven hundred ninety-seven thousand, four hundred forty".