9284466240 has 672 divisors, whose sum is σ = 38955780864. Its totient is φ = 2060328960.

The previous prime is 9284466211. The next prime is 9284466263. The reversal of 9284466240 is 426644829.

9284466240 is a `hidden beast` number, since 92 + 84 + 466 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 20139610 + ... + 20140070.

It is an arithmetic number, because the mean of its divisors is an integer number (57969912).

Almost surely, 2^9284466240 is an apocalyptic number.

9284466240 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 9284466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477890432).

9284466240 is an abundant number, since it is smaller than the sum of its proper divisors (29671314624).

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

9284466240 is a wasteful number, since it uses less digits than its factorization.

9284466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9284466240 is about 96355.9351571038. The cubic root of 9284466240 is about 2101.7722182661.

The spelling of 9284466240 in words is "nine billion, two hundred eighty-four million, four hundred sixty-six thousand, two hundred forty".