1146966400 has 48 divisors (see below), whose sum is σ = 2833373340. Its totient is φ = 458785280.

The previous prime is 1146966397. The next prime is 1146966409. The reversal of 1146966400 is 46696411.

It is a self number, because there is not a number n which added to its sum of digits gives 1146966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176014 + ... + 182413.

Almost surely, 2^1146966400 is an apocalyptic number.

1146966400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146966400 is an abundant number, since it is smaller than the sum of its proper divisors (1686406940).

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

1146966400 is an equidigital number, since it uses as much as digits as its factorization.

1146966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358451 (or 358434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1146966400 is about 33866.8923876992. The cubic root of 1146966400 is about 1046.7675039546.

The spelling of 1146966400 in words is "one billion, one hundred forty-six million, nine hundred sixty-six thousand, four hundred".