1354407200 has 72 divisors (see below), whose sum is σ = 3395884212. Its totient is φ = 527109120.

The previous prime is 1354407137. The next prime is 1354407203. The reversal of 1354407200 is 27044531.

It can be written as a sum of positive squares in 6 ways, for example, as 564347536 + 790059664 = 23756^2 + 28108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1354407200.

It is not an unprimeable number, because it can be changed into a prime (1354407203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6722 + ... + 52478.

Almost surely, 2^1354407200 is an apocalyptic number.

1354407200 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 1354407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697942106).

1354407200 is an abundant number, since it is smaller than the sum of its proper divisors (2041477012).

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

1354407200 is a wasteful number, since it uses less digits than its factorization.

1354407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45814 (or 45801 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 1354407200 is about 36802.2716690152. The cubic root of 1354407200 is about 1106.4108293946.

The spelling of 1354407200 in words is "one billion, three hundred fifty-four million, four hundred seven thousand, two hundred".