9409236480 has 320 divisors, whose sum is σ = 38198983680. Its totient is φ = 2150572032.

The previous prime is 9409236469. The next prime is 9409236481. The reversal of 9409236480 is 846329049.

9409236480 is a `hidden beast` number, since 9 + 409 + 236 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×9409236480² (a number of 21 digits) contains 22 as substring.

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 (9409236481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474117 + ... + 493563.

It is an arithmetic number, because the mean of its divisors is an integer number (119371824).

Almost surely, 2^9409236480 is an apocalyptic number.

9409236480 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 9409236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099491840).

9409236480 is an abundant number, since it is smaller than the sum of its proper divisors (28789747200).

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

9409236480 is a wasteful number, since it uses less digits than its factorization.

9409236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19486 (or 19464 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9409236480 is about 97001.2189614131. The cubic root of 9409236480 is about 2111.1453153297.

The spelling of 9409236480 in words is "nine billion, four hundred nine million, two hundred thirty-six thousand, four hundred eighty".