1197953280 has 288 divisors, whose sum is σ = 4503340800. Its totient is φ = 300515328.

The previous prime is 1197953279. The next prime is 1197953303. The reversal of 1197953280 is 823597911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1197953280³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586501 + ... + 588539.

It is an arithmetic number, because the mean of its divisors is an integer number (15636600).

Almost surely, 2^1197953280 is an apocalyptic number.

1197953280 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 1197953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251670400).

1197953280 is an abundant number, since it is smaller than the sum of its proper divisors (3305387520).

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

1197953280 is a wasteful number, since it uses less digits than its factorization.

1197953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1197953280 is about 34611.4616854013. The cubic root of 1197953280 is about 1062.0540685549.

The spelling of 1197953280 in words is "one billion, one hundred ninety-seven million, nine hundred fifty-three thousand, two hundred eighty".