1304879625 has 288 divisors, whose sum is σ = 3115397376. Its totient is φ = 531878400.

The previous prime is 1304879617. The next prime is 1304879627. The reversal of 1304879625 is 5269784031.

1304879625 is a `hidden beast` number, since 13 + 0 + 4 + 8 + 7 + 9 + 625 = 666.

1304879625 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1304879625 - 2³ = 1304879617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1304879625 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304879627) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68677866 + ... + 68677884.

It is an arithmetic number, because the mean of its divisors is an integer number (10817352).

It is a 1-persistent number, because it is pandigital, but 2⋅1304879625 = 2609759250 is not.

Almost surely, 2^1304879625 is an apocalyptic number.

1304879625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1304879625 is an abundant number, since it is smaller than the sum of its proper divisors (1810517751).

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

1304879625 is an equidigital number, since it uses as much as digits as its factorization.

1304879625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1304879625 is about 36123.1175980147. The cubic root of 1304879625 is about 1092.7567134603.

The spelling of 1304879625 in words is "one billion, three hundred four million, eight hundred seventy-nine thousand, six hundred twenty-five".