1151870400 has 252 divisors, whose sum is σ = 4196023104. Its totient is φ = 299520000.

The previous prime is 1151870399. The next prime is 1151870443. The reversal of 1151870400 is 40781511.

It is a congruent number.

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, 589425 + ... + 591375.

Almost surely, 2^1151870400 is an apocalyptic number.

1151870400 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 1151870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098011552).

1151870400 is an abundant number, since it is smaller than the sum of its proper divisors (3044152704).

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

1151870400 is a wasteful number, since it uses less digits than its factorization.

1151870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1151870400 is about 33939.2162549461. The cubic root of 1151870400 is about 1048.2572450884.

Subtracting from 1151870400 its reverse (40781511), we obtain a square (1111088889 = 33333²).

It can be divided in two parts, 11518 and 70400, that added together give a palindrome (81918).

The spelling of 1151870400 in words is "one billion, one hundred fifty-one million, eight hundred seventy thousand, four hundred".