1481906496 has 224 divisors, whose sum is σ = 4683191040. Its totient is φ = 404619264.

The previous prime is 1481906483. The next prime is 1481906509. The reversal of 1481906496 is 6946091841.

It is an interprime number because it is at equal distance from previous prime (1481906483) and next prime (1481906509).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7522270 + ... + 7522466.

Almost surely, 2^1481906496 is an apocalyptic number.

1481906496 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 1481906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341595520).

1481906496 is an abundant number, since it is smaller than the sum of its proper divisors (3201284544).

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

1481906496 is a wasteful number, since it uses less digits than its factorization.

1481906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1481906496 is about 38495.5386506021. The cubic root of 1481906496 is about 1140.0929687185.

The spelling of 1481906496 in words is "one billion, four hundred eighty-one million, nine hundred six thousand, four hundred ninety-six".