9474382800 has 180 divisors, whose sum is σ = 33767829420. Its totient is φ = 2458183680.

The previous prime is 9474382793. The next prime is 9474382849. The reversal of 9474382800 is 82834749.

It can be written as a sum of positive squares in 6 ways, for example, as 52186176 + 9422196624 = 7224^2 + 97068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97636 + ... + 168764.

Almost surely, 2^9474382800 is an apocalyptic number.

9474382800 is a gapful number since it is divisible by the number (90) 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 9474382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883914710).

9474382800 is an abundant number, since it is smaller than the sum of its proper divisors (24293446620).

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

9474382800 is a wasteful number, since it uses less digits than its factorization.

9474382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71190 (or 71176 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9474382800 is about 97336.4412745812. The cubic root of 9474382800 is about 2116.0063952790.

The spelling of 9474382800 in words is "nine billion, four hundred seventy-four million, three hundred eighty-two thousand, eight hundred".