4527494400 has 864 divisors, whose sum is σ = 18778048128. Its totient is φ = 943718400.

The previous prime is 4527494351. The next prime is 4527494407. The reversal of 4527494400 is 44947254.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4527494407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46675152 + ... + 46675248.

It is an arithmetic number, because the mean of its divisors is an integer number (21733852).

Almost surely, 2^4527494400 is an apocalyptic number.

4527494400 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 4527494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389024064).

4527494400 is an abundant number, since it is smaller than the sum of its proper divisors (14250553728).

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

4527494400 is a wasteful number, since it uses less digits than its factorization.

4527494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4527494400 is about 67286.6584101187. The cubic root of 4527494400 is about 1654.3191888865.

The spelling of 4527494400 in words is "four billion, five hundred twenty-seven million, four hundred ninety-four thousand, four hundred".