1356957408 has 96 divisors (see below), whose sum is σ = 3801821184. Its totient is φ = 422295552.

The previous prime is 1356957403. The next prime is 1356957421. The reversal of 1356957408 is 8047596531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356957403) 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, 203991 + ... + 210537.

It is an arithmetic number, because the mean of its divisors is an integer number (39602304).

Almost surely, 2^1356957408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356957408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900910592).

1356957408 is an abundant number, since it is smaller than the sum of its proper divisors (2444863776).

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

1356957408 is a wasteful number, since it uses less digits than its factorization.

1356957408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 1356957408 is about 36836.9028014028. The cubic root of 1356957408 is about 1107.1048128795.

The spelling of 1356957408 in words is "one billion, three hundred fifty-six million, nine hundred fifty-seven thousand, four hundred eight".