1395466240 has 224 divisors, whose sum is σ = 3975957504. Its totient is φ = 460062720.

The previous prime is 1395466187. The next prime is 1395466243. The reversal of 1395466240 is 426645931.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1395466193 and 1395466202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395466243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8888242 + ... + 8888398.

Almost surely, 2^1395466240 is an apocalyptic number.

1395466240 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 1395466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987978752).

1395466240 is an abundant number, since it is smaller than the sum of its proper divisors (2580491264).

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

1395466240 is an equidigital number, since it uses as much as digits as its factorization.

1395466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 1395466240 is about 37355.9398222023. The cubic root of 1395466240 is about 1117.4800487574.

The spelling of 1395466240 in words is "one billion, three hundred ninety-five million, four hundred sixty-six thousand, two hundred forty".