1481892520 has 64 divisors (see below), whose sum is σ = 3471809040. Its totient is φ = 568780800.

The previous prime is 1481892487. The next prime is 1481892523. The reversal of 1481892520 is 252981841.

It can be written as a sum of positive squares in 8 ways, for example, as 1028196 + 1480864324 = 1014^2 + 38482^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1481892523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92634 + ... + 107446.

Almost surely, 2^1481892520 is an apocalyptic number.

1481892520 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 1481892520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735904520).

1481892520 is an abundant number, since it is smaller than the sum of its proper divisors (1989916520).

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

1481892520 is a wasteful number, since it uses less digits than its factorization.

1481892520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14926 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1481892520 is about 38495.3571226453. The cubic root of 1481892520 is about 1140.0893845991.

The spelling of 1481892520 in words is "one billion, four hundred eighty-one million, eight hundred ninety-two thousand, five hundred twenty".