1079274240 has 576 divisors, whose sum is σ = 4450360320. Its totient is φ = 244776960.

The previous prime is 1079274239. The next prime is 1079274247. The reversal of 1079274240 is 424729701.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1079274195 and 1079274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079274247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462637 + ... + 6462803.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2^1079274240 is an apocalyptic number.

1079274240 is a gapful number since it is divisible by the number (10) 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 1079274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

1079274240 is an abundant number, since it is smaller than the sum of its proper divisors (3371086080).

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

1079274240 is a wasteful number, since it uses less digits than its factorization.

1079274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1079274240 is about 32852.3095078565. The cubic root of 1079274240 is about 1025.7556957397.

The spelling of 1079274240 in words is "one billion, seventy-nine million, two hundred seventy-four thousand, two hundred forty".