9279253440 has 336 divisors, whose sum is σ = 34111509120. Its totient is φ = 2308331520.

The previous prime is 9279253427. The next prime is 9279253493. The reversal of 9279253440 is 443529729.

9279253440 is a `hidden beast` number, since 9 + 2 + 79 + 2 + 534 + 40 = 666.

It is a super-2 number, since 2×9279253440² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3664975 + ... + 3667505.

Almost surely, 2^9279253440 is an apocalyptic number.

9279253440 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 9279253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055754560).

9279253440 is an abundant number, since it is smaller than the sum of its proper divisors (24832255680).

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

9279253440 is a wasteful number, since it uses less digits than its factorization.

9279253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9279253440 is about 96328.8816503130. The cubic root of 9279253440 is about 2101.3787952078.

The spelling of 9279253440 in words is "nine billion, two hundred seventy-nine million, two hundred fifty-three thousand, four hundred forty".