1505483442 has 64 divisors (see below), whose sum is σ = 3468165120. Its totient is φ = 483570000.

The previous prime is 1505483437. The next prime is 1505483459. The reversal of 1505483442 is 2443845051.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1505483397 and 1505483406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418383 + ... + 421965.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 2^1505483442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505483442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734082560).

1505483442 is an abundant number, since it is smaller than the sum of its proper divisors (1962681678).

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

1505483442 is a wasteful number, since it uses less digits than its factorization.

1505483442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1505483442 is about 38800.5598155491. The cubic root of 1505483442 is about 1146.1074294180.

The spelling of 1505483442 in words is "one billion, five hundred five million, four hundred eighty-three thousand, four hundred forty-two".