1537632460 has 96 divisors (see below), whose sum is σ = 3998776320. Its totient is φ = 483625728.

The previous prime is 1537632451. The next prime is 1537632491. The reversal of 1537632460 is 642367351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301411 + ... + 306469.

It is an arithmetic number, because the mean of its divisors is an integer number (41653920).

Almost surely, 2^1537632460 is an apocalyptic number.

1537632460 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 1537632460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999388160).

1537632460 is an abundant number, since it is smaller than the sum of its proper divisors (2461143860).

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

1537632460 is a wasteful number, since it uses less digits than its factorization.

1537632460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 1537632460 is about 39212.6568852456. The cubic root of 1537632460 is about 1154.2082640819.

The spelling of 1537632460 in words is "one billion, five hundred thirty-seven million, six hundred thirty-two thousand, four hundred sixty".