1379161200 has 240 divisors, whose sum is σ = 4564457856. Its totient is φ = 355814400.

The previous prime is 1379161181. The next prime is 1379161219. The reversal of 1379161200 is 21619731.

It is an interprime number because it is at equal distance from previous prime (1379161181) and next prime (1379161219).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6075487 + ... + 6075713.

Almost surely, 2^1379161200 is an apocalyptic number.

1379161200 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 1379161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282228928).

1379161200 is an abundant number, since it is smaller than the sum of its proper divisors (3185296656).

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

1379161200 is a wasteful number, since it uses less digits than its factorization.

1379161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1379161200 is about 37137.0596574365. The cubic root of 1379161200 is about 1113.1106641909.

The spelling of 1379161200 in words is "one billion, three hundred seventy-nine million, one hundred sixty-one thousand, two hundred".