1461276480 has 336 divisors, whose sum is σ = 5165262720. Its totient is φ = 349274112.

The previous prime is 1461276473. The next prime is 1461276511. The reversal of 1461276480 is 846721641.

It is a super-3 number, since 3×1461276480³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6381006 + ... + 6381234.

Almost surely, 2^1461276480 is an apocalyptic number.

1461276480 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 1461276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582631360).

1461276480 is an abundant number, since it is smaller than the sum of its proper divisors (3703986240).

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

1461276480 is a wasteful number, since it uses less digits than its factorization.

1461276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1461276480 is about 38226.6462039243. The cubic root of 1461276480 is about 1134.7777139776. Note that the first 4 decimals are identical.

The spelling of 1461276480 in words is "one billion, four hundred sixty-one million, two hundred seventy-six thousand, four hundred eighty".