1147238400 has 576 divisors, whose sum is σ = 4777194240. Its totient is φ = 235929600.

The previous prime is 1147238399. The next prime is 1147238401. The reversal of 1147238400 is 48327411.

It is an interprime number because it is at equal distance from previous prime (1147238399) and next prime (1147238401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147238401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827152 + ... + 11827248.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

Almost surely, 2^1147238400 is an apocalyptic number.

1147238400 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 1147238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

1147238400 is an abundant number, since it is smaller than the sum of its proper divisors (3629955840).

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

1147238400 is a wasteful number, since it uses less digits than its factorization.

1147238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1147238400 is about 33870.9078709148. The cubic root of 1147238400 is about 1046.8502434481.

The spelling of 1147238400 in words is "one billion, one hundred forty-seven million, two hundred thirty-eight thousand, four hundred".