1507713480 has 768 divisors, whose sum is σ = 6689088000. Its totient is φ = 293787648.

The previous prime is 1507713463. The next prime is 1507713523. The reversal of 1507713480 is 843177051.

1507713480 is a `hidden beast` number, since 1 + 507 + 71 + 3 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51990106 + ... + 51990134.

It is an arithmetic number, because the mean of its divisors is an integer number (8709750).

Almost surely, 2^1507713480 is an apocalyptic number.

1507713480 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 1507713480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344544000).

1507713480 is an abundant number, since it is smaller than the sum of its proper divisors (5181374520).

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

1507713480 is a wasteful number, since it uses less digits than its factorization.

1507713480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1507713480 is about 38829.2863699553. The cubic root of 1507713480 is about 1146.6730510882.

The spelling of 1507713480 in words is "one billion, five hundred seven million, seven hundred thirteen thousand, four hundred eighty".