1151467200 has 252 divisors, whose sum is σ = 4408117168. Its totient is φ = 283392000.

The previous prime is 1151467199. The next prime is 1151467211. The reversal of 1151467200 is 27641511.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184125 + ... + 190275.

Almost surely, 2^1151467200 is an apocalyptic number.

1151467200 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 1151467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204058584).

1151467200 is an abundant number, since it is smaller than the sum of its proper divisors (3256649968).

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

1151467200 is a wasteful number, since it uses less digits than its factorization.

1151467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1151467200 is about 33933.2757039458. The cubic root of 1151467200 is about 1048.1349203759.

The spelling of 1151467200 in words is "one billion, one hundred fifty-one million, four hundred sixty-seven thousand, two hundred".