1504013220 has 72 divisors (see below), whose sum is σ = 4607399160. Its totient is φ = 397094400.

The previous prime is 1504013219. The next prime is 1504013237. The reversal of 1504013220 is 223104051.

It can be written as a sum of positive squares in 4 ways, for example, as 431974656 + 1072038564 = 20784^2 + 32742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1504013193 and 1504013202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23185 + ... + 59544.

It is an arithmetic number, because the mean of its divisors is an integer number (63991655).

Almost surely, 2^1504013220 is an apocalyptic number.

1504013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1504013220 is an abundant number, since it is smaller than the sum of its proper divisors (3103385940).

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

1504013220 is a wasteful number, since it uses less digits than its factorization.

1504013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82845 (or 82840 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1504013220 is about 38781.6093013170. The cubic root of 1504013220 is about 1145.7342201375.

Adding to 1504013220 its reverse (223104051), we get a palindrome (1727117271).

The spelling of 1504013220 in words is "one billion, five hundred four million, thirteen thousand, two hundred twenty".