1146388320 has 576 divisors, whose sum is σ = 5000486400. Its totient is φ = 237081600.

The previous prime is 1146388307. The next prime is 1146388337. The reversal of 1146388320 is 238836411.

1146388320 is a `hidden beast` number, since 1 + 14 + 638 + 8 + 3 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5433015 + ... + 5433225.

It is an arithmetic number, because the mean of its divisors is an integer number (8681400).

Almost surely, 2^1146388320 is an apocalyptic number.

1146388320 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 1146388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500243200).

1146388320 is an abundant number, since it is smaller than the sum of its proper divisors (3854098080).

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

1146388320 is a wasteful number, since it uses less digits than its factorization.

1146388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1146388320 is about 33858.3567232670. The cubic root of 1146388320 is about 1046.5916147428.

The spelling of 1146388320 in words is "one billion, one hundred forty-six million, three hundred eighty-eight thousand, three hundred twenty".