1399057200 has 180 divisors, whose sum is σ = 4870770840. Its totient is φ = 371880960.

The previous prime is 1399057141. The next prime is 1399057241. The reversal of 1399057200 is 27509931.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1399057200² = 3914722097743680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2048059 + ... + 2048741.

It is an arithmetic number, because the mean of its divisors is an integer number (27059838).

Almost surely, 2^1399057200 is an apocalyptic number.

1399057200 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 1399057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435385420).

1399057200 is an abundant number, since it is smaller than the sum of its proper divisors (3471713640).

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

1399057200 is a wasteful number, since it uses less digits than its factorization.

1399057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1399057200 is about 37403.9730510009. The cubic root of 1399057200 is about 1118.4377666580.

The spelling of 1399057200 in words is "one billion, three hundred ninety-nine million, fifty-seven thousand, two hundred".