1381598800 has 30 divisors (see below), whose sum is σ = 3319292078. Its totient is φ = 552639360.

The previous prime is 1381598749. The next prime is 1381598807. The reversal of 1381598800 is 88951831.

It can be written as a sum of positive squares in 3 ways, for example, as 142277184 + 1239321616 = 11928^2 + 35204^2 .

It is a super-2 number, since 2×1381598800² = 3817630488322880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381598807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1726599 + ... + 1727398.

Almost surely, 2^1381598800 is an apocalyptic number.

1381598800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381598800 is an abundant number, since it is smaller than the sum of its proper divisors (1937693278).

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

1381598800 is a wasteful number, since it uses less digits than its factorization.

1381598800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454015 (or 3454004 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The square root of 1381598800 is about 37169.8641374972. The cubic root of 1381598800 is about 1113.7660677725.

The spelling of 1381598800 in words is "one billion, three hundred eighty-one million, five hundred ninety-eight thousand, eight hundred".