1314545400 has 648 divisors, whose sum is σ = 5656524120. Its totient is φ = 267909120.

The previous prime is 1314545399. The next prime is 1314545443. The reversal of 1314545400 is 45454131.

It is a happy number.

It is a super-2 number, since 2×1314545400² = 3456059217322320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 69186591 + ... + 69186609.

Almost surely, 2^1314545400 is an apocalyptic number.

1314545400 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 1314545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828262060).

1314545400 is an abundant number, since it is smaller than the sum of its proper divisors (4341978720).

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

1314545400 is a wasteful number, since it uses less digits than its factorization.

1314545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1314545400 is about 36256.6600778395. The cubic root of 1314545400 is about 1095.4482433313.

Adding to 1314545400 its reverse (45454131), we get a palindrome (1359999531).

The spelling of 1314545400 in words is "one billion, three hundred fourteen million, five hundred forty-five thousand, four hundred".