1375449600 has 720 divisors, whose sum is σ = 5726606688. Its totient is φ = 289013760.

The previous prime is 1375449599. The next prime is 1375449601. The reversal of 1375449600 is 69445731.

It is an interprime number because it is at equal distance from previous prime (1375449599) and next prime (1375449601).

It is not an unprimeable number, because it can be changed into a prime (1375449601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31987179 + ... + 31987221.

Almost surely, 2^1375449600 is an apocalyptic number.

1375449600 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 1375449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863303344).

1375449600 is an abundant number, since it is smaller than the sum of its proper divisors (4351157088).

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

1375449600 is a wasteful number, since it uses less digits than its factorization.

1375449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1375449600 is about 37087.0543451485. The cubic root of 1375449600 is about 1112.1112322526. Note that the first 3 decimals are identical.

The spelling of 1375449600 in words is "one billion, three hundred seventy-five million, four hundred forty-nine thousand, six hundred".