9474620400 has 360 divisors, whose sum is σ = 38348512800. Its totient is φ = 2165345280.

The previous prime is 9474620383. The next prime is 9474620411. The reversal of 9474620400 is 40264749.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1230964 + ... + 1238636.

Almost surely, 2^9474620400 is an apocalyptic number.

9474620400 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 9474620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19174256400).

9474620400 is an abundant number, since it is smaller than the sum of its proper divisors (28873892400).

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

9474620400 is a wasteful number, since it uses less digits than its factorization.

9474620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 9474620400 is about 97337.6617759025. The cubic root of 9474620400 is about 2116.0240836402.

The spelling of 9474620400 in words is "nine billion, four hundred seventy-four million, six hundred twenty thousand, four hundred".