1346054400 has 162 divisors, whose sum is σ = 4812654210. Its totient is φ = 358932480.

The previous prime is 1346054389. The next prime is 1346054417. The reversal of 1346054400 is 44506431.

1346054400 is a `hidden beast` number, since 13 + 4 + 605 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 1344835584 = 1104^2 + 36672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45916 + ... + 69284.

Almost surely, 2^1346054400 is an apocalyptic number.

1346054400 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 1346054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406327105).

1346054400 is an abundant number, since it is smaller than the sum of its proper divisors (3466599810).

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

1346054400 is a wasteful number, since it uses less digits than its factorization.

1346054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23401 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1346054400 is about 36688.6140376003. The cubic root of 1346054400 is about 1104.1316793154.

The spelling of 1346054400 in words is "one billion, three hundred forty-six million, fifty-four thousand, four hundred".