1352913408 has 640 divisors, whose sum is σ = 5279662080. Its totient is φ = 331776000.

The previous prime is 1352913407. The next prime is 1352913421. The reversal of 1352913408 is 8043192531.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352913407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997868 + ... + 32997908.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^1352913408 is an apocalyptic number.

1352913408 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 1352913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

1352913408 is an abundant number, since it is smaller than the sum of its proper divisors (3926748672).

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

1352913408 is a wasteful number, since it uses less digits than its factorization.

1352913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1352913408 is about 36781.9712359194. The cubic root of 1352913408 is about 1106.0039218240.

The spelling of 1352913408 in words is "one billion, three hundred fifty-two million, nine hundred thirteen thousand, four hundred eight".