1481623920 has 640 divisors, whose sum is σ = 6285312000. Its totient is φ = 313528320.

The previous prime is 1481623919. The next prime is 1481623931. The reversal of 1481623920 is 293261841.

1481623920 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 623 + 9 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 13592826 + ... + 13592934.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2^1481623920 is an apocalyptic number.

1481623920 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 1481623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656000).

1481623920 is an abundant number, since it is smaller than the sum of its proper divisors (4803688080).

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

1481623920 is a wasteful number, since it uses less digits than its factorization.

1481623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1481623920 is about 38491.8682321344. The cubic root of 1481623920 is about 1140.0204982464.

The spelling of 1481623920 in words is "one billion, four hundred eighty-one million, six hundred twenty-three thousand, nine hundred twenty".