1485340416 has 288 divisors, whose sum is σ = 5095283200. Its totient is φ = 423263232.

The previous prime is 1485340369. The next prime is 1485340421. The reversal of 1485340416 is 6140435841.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1485340416³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

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, 3918915 + ... + 3919293.

Almost surely, 2^1485340416 is an apocalyptic number.

1485340416 is a gapful number since it is divisible by the number (16) 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 1485340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547641600).

1485340416 is an abundant number, since it is smaller than the sum of its proper divisors (3609942784).

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

1485340416 is an frugal number, since it uses more digits than its factorization.

1485340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1485340416 is about 38540.1143745059. The cubic root of 1485340416 is about 1140.9729090672.

The spelling of 1485340416 in words is "one billion, four hundred eighty-five million, three hundred forty thousand, four hundred sixteen".