9407249280 has 1024 divisors, whose sum is σ = 40468377600. Its totient is φ = 2060328960.

The previous prime is 9407249263. The next prime is 9407249323. The reversal of 9407249280 is 829427049.

9407249280 is a `hidden beast` number, since 94 + 0 + 72 + 492 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 200154217 + ... + 200154263.

It is an arithmetic number, because the mean of its divisors is an integer number (39519900).

Almost surely, 2^9407249280 is an apocalyptic number.

9407249280 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 9407249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234188800).

9407249280 is an abundant number, since it is smaller than the sum of its proper divisors (31061128320).

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

9407249280 is a wasteful number, since it uses less digits than its factorization.

9407249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9407249280 is about 96990.9752502778. The cubic root of 9407249280 is about 2110.9966825348.

The spelling of 9407249280 in words is "nine billion, four hundred seven million, two hundred forty-nine thousand, two hundred eighty".