1395007488 has 448 divisors, whose sum is σ = 5095768320. Its totient is φ = 368050176.

The previous prime is 1395007457. The next prime is 1395007489. The reversal of 1395007488 is 8847005931.

1395007488 is a `hidden beast` number, since 139 + 500 + 7 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1395007489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26320870 + ... + 26320922.

Almost surely, 2^1395007488 is an apocalyptic number.

1395007488 is a gapful number since it is divisible by the number (18) 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 1395007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547884160).

1395007488 is an abundant number, since it is smaller than the sum of its proper divisors (3700760832).

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

1395007488 is an equidigital number, since it uses as much as digits as its factorization.

1395007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

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

The square root of 1395007488 is about 37349.7990356039. The cubic root of 1395007488 is about 1117.3575801564.

The spelling of 1395007488 in words is "one billion, three hundred ninety-five million, seven thousand, four hundred eighty-eight".