1482961920 has 352 divisors, whose sum is σ = 5291675136. Its totient is φ = 351436800.

The previous prime is 1482961919. The next prime is 1482961927. The reversal of 1482961920 is 291692841.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482961927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11320255 + ... + 11320385.

It is an arithmetic number, because the mean of its divisors is an integer number (15033168).

Almost surely, 2^1482961920 is an apocalyptic number.

1482961920 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 1482961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645837568).

1482961920 is an abundant number, since it is smaller than the sum of its proper divisors (3808713216).

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

1482961920 is a wasteful number, since it uses less digits than its factorization.

1482961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1482961920 is about 38509.2446043804. The cubic root of 1482961920 is about 1140.3635651733.

The spelling of 1482961920 in words is "one billion, four hundred eighty-two million, nine hundred sixty-one thousand, nine hundred twenty".