1307423040 has 448 divisors, whose sum is σ = 5407395840. Its totient is φ = 259522560.

The previous prime is 1307423023. The next prime is 1307423057. The reversal of 1307423040 is 403247031.

It is an interprime number because it is at equal distance from previous prime (1307423023) and next prime (1307423057).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1307423040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699776 + ... + 1700544.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2^1307423040 is an apocalyptic number.

1307423040 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 1307423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703697920).

1307423040 is an abundant number, since it is smaller than the sum of its proper divisors (4099972800).

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

1307423040 is a wasteful number, since it uses less digits than its factorization.

1307423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 1307423040 is about 36158.3052700206. The cubic root of 1307423040 is about 1093.4662373965.

The spelling of 1307423040 in words is "one billion, three hundred seven million, four hundred twenty-three thousand, forty".