1379162400 has 576 divisors, whose sum is σ = 5939619840. Its totient is φ = 269107200.

The previous prime is 1379162399. The next prime is 1379162413. The reversal of 1379162400 is 42619731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141381 + ... + 3141819.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^1379162400 is an apocalyptic number.

1379162400 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 1379162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

1379162400 is an abundant number, since it is smaller than the sum of its proper divisors (4560457440).

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

1379162400 is a wasteful number, since it uses less digits than its factorization.

1379162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1379162400 is about 37137.0758138010. The cubic root of 1379162400 is about 1113.1109870278.

The spelling of 1379162400 in words is "one billion, three hundred seventy-nine million, one hundred sixty-two thousand, four hundred".