1395812880 has 480 divisors, whose sum is σ = 6192246528. Its totient is φ = 272793600.

The previous prime is 1395812861. The next prime is 1395812893. The reversal of 1395812880 is 882185931.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941740 + ... + 943220.

Almost surely, 2^1395812880 is an apocalyptic number.

1395812880 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 1395812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096123264).

1395812880 is an abundant number, since it is smaller than the sum of its proper divisors (4796433648).

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

1395812880 is a wasteful number, since it uses less digits than its factorization.

1395812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1395812880 is about 37360.5792246319. The cubic root of 1395812880 is about 1117.5725700962.

The spelling of 1395812880 in words is "one billion, three hundred ninety-five million, eight hundred twelve thousand, eight hundred eighty".