1097485200 has 360 divisors, whose sum is σ = 4516669248. Its totient is φ = 250698240.

The previous prime is 1097485189. The next prime is 1097485237. The reversal of 1097485200 is 25847901.

1097485200 is a `hidden beast` number, since 1 + 0 + 97 + 48 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 679594 + ... + 681206.

Almost surely, 2^1097485200 is an apocalyptic number.

1097485200 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 1097485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258334624).

1097485200 is an abundant number, since it is smaller than the sum of its proper divisors (3419184048).

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

1097485200 is a wasteful number, since it uses less digits than its factorization.

1097485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1097485200 is about 33128.3141738302. The cubic root of 1097485200 is about 1031.4928552008.

The spelling of 1097485200 in words is "one billion, ninety-seven million, four hundred eighty-five thousand, two hundred".