1395429840 has 360 divisors, whose sum is σ = 5604005160. Its totient is φ = 310044672.

The previous prime is 1395429823. The next prime is 1395429913. The reversal of 1395429840 is 489245931.

1395429840 is a `hidden beast` number, since 13 + 9 + 542 + 98 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360392256 + 1035037584 = 18984^2 + 32172^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1304826 + ... + 1305894.

It is an arithmetic number, because the mean of its divisors is an integer number (15566681).

Almost surely, 2^1395429840 is an apocalyptic number.

1395429840 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 1395429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802002580).

1395429840 is an abundant number, since it is smaller than the sum of its proper divisors (4208575320).

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

1395429840 is a wasteful number, since it uses less digits than its factorization.

1395429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1395429840 is about 37355.4526140428. The cubic root of 1395429840 is about 1117.4703323806.

The spelling of 1395429840 in words is "one billion, three hundred ninety-five million, four hundred twenty-nine thousand, eight hundred forty".