1304529408 has 640 divisors, whose sum is σ = 5114672640. Its totient is φ = 318504960.

The previous prime is 1304529407. The next prime is 1304529437. The reversal of 1304529408 is 8049254031.

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 (1304529403) 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, 21385698 + ... + 21385758.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^1304529408 is an apocalyptic number.

1304529408 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 1304529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320).

1304529408 is an abundant number, since it is smaller than the sum of its proper divisors (3810143232).

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

1304529408 is a wasteful number, since it uses less digits than its factorization.

1304529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1304529408 is about 36118.2697259988. The cubic root of 1304529408 is about 1092.6589429550.

The spelling of 1304529408 in words is "one billion, three hundred four million, five hundred twenty-nine thousand, four hundred eight".