1461151560 has 128 divisors (see below), whose sum is σ = 4811996160. Its totient is φ = 351993600.

The previous prime is 1461151507. The next prime is 1461151589. The reversal of 1461151560 is 651511641.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 211765 + ... + 218555.

It is an arithmetic number, because the mean of its divisors is an integer number (37593720).

Almost surely, 2^1461151560 is an apocalyptic number.

1461151560 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 1461151560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405998080).

1461151560 is an abundant number, since it is smaller than the sum of its proper divisors (3350844600).

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

1461151560 is a wasteful number, since it uses less digits than its factorization.

1461151560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1461151560 is about 38225.0122302139. The cubic root of 1461151560 is about 1134.7453768455.

The spelling of 1461151560 in words is "one billion, four hundred sixty-one million, one hundred fifty-one thousand, five hundred sixty".