1302305472 has 112 divisors (see below), whose sum is σ = 4123110880. Its totient is φ = 400702464.

The previous prime is 1302305449. The next prime is 1302305507. The reversal of 1302305472 is 2745032031.

1302305472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1302305472² = 3391999084802285568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6523 + ... + 51450.

It is an arithmetic number, because the mean of its divisors is an integer number (36813490).

Almost surely, 2^1302305472 is an apocalyptic number.

1302305472 is a gapful number since it is divisible by the number (12) 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 1302305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061555440).

1302305472 is an abundant number, since it is smaller than the sum of its proper divisors (2820805408).

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

1302305472 is a wasteful number, since it uses less digits than its factorization.

1302305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58007 (or 57991 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1302305472 is about 36087.4697367383. The cubic root of 1302305472 is about 1092.0376753092.

The spelling of 1302305472 in words is "one billion, three hundred two million, three hundred five thousand, four hundred seventy-two".