1352908480 has 112 divisors (see below), whose sum is σ = 4016630016. Its totient is φ = 421678080.

The previous prime is 1352908477. The next prime is 1352908483. The reversal of 1352908480 is 848092531.

1352908480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1352908477) and next prime (1352908483).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1352908480² = 3660722710511820800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1352908483) 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, 2814 + ... + 52093.

It is an arithmetic number, because the mean of its divisors is an integer number (35862768).

Almost surely, 2^1352908480 is an apocalyptic number.

1352908480 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 1352908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008315008).

1352908480 is an abundant number, since it is smaller than the sum of its proper divisors (2663721536).

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

1352908480 is a wasteful number, since it uses less digits than its factorization.

1352908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54942 (or 54932 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1352908480 is about 36781.9042465177. The cubic root of 1352908480 is about 1106.0025789458.

The spelling of 1352908480 in words is "one billion, three hundred fifty-two million, nine hundred eight thousand, four hundred eighty".