1395878400 has 480 divisors, whose sum is σ = 5865636480. Its totient is φ = 318504960.

The previous prime is 1395878387. The next prime is 1395878401. The reversal of 1395878400 is 48785931.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1395878401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418912 + ... + 2419488.

It is an arithmetic number, because the mean of its divisors is an integer number (12220076).

Almost surely, 2^1395878400 is an apocalyptic number.

1395878400 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 1395878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932818240).

1395878400 is an abundant number, since it is smaller than the sum of its proper divisors (4469758080).

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

1395878400 is an equidigital number, since it uses as much as digits as its factorization.

1395878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1395878400 is about 37361.4560744091. The cubic root of 1395878400 is about 1117.5900562531.

The spelling of 1395878400 in words is "one billion, three hundred ninety-five million, eight hundred seventy-eight thousand, four hundred".