1152414720 has 264 divisors, whose sum is σ = 4052323080. Its totient is φ = 302776320.

The previous prime is 1152414661. The next prime is 1152414721. The reversal of 1152414720 is 274142511.

1152414720 is a `hidden beast` number, since 1 + 152 + 41 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 1084253184 = 8256^2 + 32928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152414721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4100980 + ... + 4101260.

Almost surely, 2^1152414720 is an apocalyptic number.

1152414720 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 1152414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026161540).

1152414720 is an abundant number, since it is smaller than the sum of its proper divisors (2899908360).

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

1152414720 is a wasteful number, since it uses less digits than its factorization.

1152414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1152414720 is about 33947.2343497964. The cubic root of 1152414720 is about 1048.4223381780.

It can be divided in two parts, 11524 and 14720, that added together give a square (26244 = 162²).

The spelling of 1152414720 in words is "one billion, one hundred fifty-two million, four hundred fourteen thousand, seven hundred twenty".