1304433040 has 80 divisors (see below), whose sum is σ = 3242042496. Its totient is φ = 486886400.

The previous prime is 1304433029. The next prime is 1304433059. The reversal of 1304433040 is 403344031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1304433040⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66795 + ... + 84085.

Almost surely, 2^1304433040 is an apocalyptic number.

1304433040 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 1304433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621021248).

1304433040 is an abundant number, since it is smaller than the sum of its proper divisors (1937609456).

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

1304433040 is a wasteful number, since it uses less digits than its factorization.

1304433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17368 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1304433040 is about 36116.9356396691. The cubic root of 1304433040 is about 1092.6320367135.

Adding to 1304433040 its reverse (403344031), we get a palindrome (1707777071).

The spelling of 1304433040 in words is "one billion, three hundred four million, four hundred thirty-three thousand, forty".