1146406272 has 128 divisors (see below), whose sum is σ = 3350920320. Its totient is φ = 347240960.

The previous prime is 1146406259. The next prime is 1146406291. The reversal of 1146406272 is 2726046411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509983 + ... + 512225.

It is an arithmetic number, because the mean of its divisors is an integer number (26179065).

Almost surely, 2^1146406272 is an apocalyptic number.

1146406272 is a gapful number since it is divisible by the number (12) 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 1146406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675460160).

1146406272 is an abundant number, since it is smaller than the sum of its proper divisors (2204514048).

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

1146406272 is an equidigital number, since it uses as much as digits as its factorization.

1146406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1146406272 is about 33858.6218266485. The cubic root of 1146406272 is about 1046.5970777883.

The spelling of 1146406272 in words is "one billion, one hundred forty-six million, four hundred six thousand, two hundred seventy-two".