1147538304 has 192 divisors, whose sum is σ = 3634141680. Its totient is φ = 344678400.

The previous prime is 1147538303. The next prime is 1147538311. The reversal of 1147538304 is 4038357411.

It is a happy number.

1147538304 is a `hidden beast` number, since 114 + 7 + 538 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1147538304³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147538303) 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, 1735734 + ... + 1736394.

Almost surely, 2^1147538304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817070840).

1147538304 is an abundant number, since it is smaller than the sum of its proper divisors (2486603376).

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

1147538304 is a wasteful number, since it uses less digits than its factorization.

1147538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1147538304 is about 33875.3347437335. The cubic root of 1147538304 is about 1046.9414558826.

The spelling of 1147538304 in words is "one billion, one hundred forty-seven million, five hundred thirty-eight thousand, three hundred four".