1375046400 has 432 divisors, whose sum is σ = 5592253184. Its totient is φ = 289751040.

The previous prime is 1375046383. The next prime is 1375046401. The reversal of 1375046400 is 46405731.

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

It is not an unprimeable number, because it can be changed into a prime (1375046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746807 + ... + 1747593.

Almost surely, 2^1375046400 is an apocalyptic number.

1375046400 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 1375046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796126592).

1375046400 is an abundant number, since it is smaller than the sum of its proper divisors (4217206784).

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

1375046400 is a wasteful number, since it uses less digits than its factorization.

1375046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1375046400 is about 37081.6180876725. The cubic root of 1375046400 is about 1112.0025533471.

The spelling of 1375046400 in words is "one billion, three hundred seventy-five million, forty-six thousand, four hundred".