1304828040 has 128 divisors (see below), whose sum is σ = 4146969600. Its totient is φ = 327525120.

The previous prime is 1304828039. The next prime is 1304828087. The reversal of 1304828040 is 408284031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1304827989 and 1304828007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369885 + ... + 373395.

It is an arithmetic number, because the mean of its divisors is an integer number (32398200).

Almost surely, 2^1304828040 is an apocalyptic number.

1304828040 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 1304828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073484800).

1304828040 is an abundant number, since it is smaller than the sum of its proper divisors (2842141560).

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

1304828040 is a wasteful number, since it uses less digits than its factorization.

1304828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1304828040 is about 36122.4035745131. The cubic root of 1304828040 is about 1092.7423135119.

The spelling of 1304828040 in words is "one billion, three hundred four million, eight hundred twenty-eight thousand, forty".