1412610480 has 240 divisors, whose sum is σ = 5156336640. Its totient is φ = 345254400.

The previous prime is 1412610473. The next prime is 1412610497. The reversal of 1412610480 is 840162141.

It is a happy number.

1412610480 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 610 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 422415 + ... + 425745.

It is an arithmetic number, because the mean of its divisors is an integer number (21484736).

Almost surely, 2^1412610480 is an apocalyptic number.

1412610480 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 1412610480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578168320).

1412610480 is an abundant number, since it is smaller than the sum of its proper divisors (3743726160).

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

1412610480 is a wasteful number, since it uses less digits than its factorization.

1412610480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1412610480 is about 37584.7107212494. The cubic root of 1412610480 is about 1122.0377655127.

The spelling of 1412610480 in words is "one billion, four hundred twelve million, six hundred ten thousand, four hundred eighty".