1147478400 has 480 divisors, whose sum is σ = 4476443400. Its totient is φ = 288645120.

The previous prime is 1147478383. The next prime is 1147478413. The reversal of 1147478400 is 48747411.

1147478400 is a `hidden beast` number, since 1 + 147 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4924684 + ... + 4924916.

Almost surely, 2^1147478400 is an apocalyptic number.

1147478400 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 1147478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238221700).

1147478400 is an abundant number, since it is smaller than the sum of its proper divisors (3328965000).

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

1147478400 is a wasteful number, since it uses less digits than its factorization.

1147478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1147478400 is about 33874.4505490495. The cubic root of 1147478400 is about 1046.9232380238.

The spelling of 1147478400 in words is "one billion, one hundred forty-seven million, four hundred seventy-eight thousand, four hundred".