1461129480 has 48 divisors (see below), whose sum is σ = 4748671980. Its totient is φ = 389634432.

The previous prime is 1461129473. The next prime is 1461129491. The reversal of 1461129480 is 849211641.

1461129480 is a `hidden beast` number, since 14 + 611 + 29 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1456643556 + 4485924 = 38166^2 + 2118^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2028987 + ... + 2029706.

Almost surely, 2^1461129480 is an apocalyptic number.

1461129480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461129480 is an abundant number, since it is smaller than the sum of its proper divisors (3287542500).

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

1461129480 is a wasteful number, since it uses less digits than its factorization.

1461129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058710 (or 4058703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1461129480 is about 38224.7234129954. The cubic root of 1461129480 is about 1134.7396609648.

The spelling of 1461129480 in words is "one billion, four hundred sixty-one million, one hundred twenty-nine thousand, four hundred eighty".