1307489040 has 800 divisors, whose sum is σ = 5716884096. Its totient is φ = 272056320.

The previous prime is 1307488999. The next prime is 1307489111. The reversal of 1307489040 is 409847031.

It is a happy number.

1307489040 is a `hidden beast` number, since 130 + 7 + 489 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1307488986 and 1307489004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15752839 + ... + 15752921.

Almost surely, 2^1307489040 is an apocalyptic number.

1307489040 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 1307489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858442048).

1307489040 is an abundant number, since it is smaller than the sum of its proper divisors (4409395056).

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

1307489040 is a wasteful number, since it uses less digits than its factorization.

1307489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1307489040 is about 36159.2179118963. The cubic root of 1307489040 is about 1093.4846368370.

The spelling of 1307489040 in words is "one billion, three hundred seven million, four hundred eighty-nine thousand, forty".