1515468420 has 96 divisors (see below), whose sum is σ = 4758230400. Its totient is φ = 400401792.

The previous prime is 1515468407. The next prime is 1515468433. The reversal of 1515468420 is 248645151.

It is a happy number.

1515468420 is a `hidden beast` number, since 1 + 515 + 46 + 84 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1515468407) and next prime (1515468433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45987 + ... + 71733.

It is an arithmetic number, because the mean of its divisors is an integer number (49564900).

Almost surely, 2^1515468420 is an apocalyptic number.

1515468420 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 1515468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379115200).

1515468420 is an abundant number, since it is smaller than the sum of its proper divisors (3242761980).

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

1515468420 is a wasteful number, since it uses less digits than its factorization.

1515468420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25874 (or 25866 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1515468420 is about 38929.0177117276. The cubic root of 1515468420 is about 1148.6356649463.

The spelling of 1515468420 in words is "one billion, five hundred fifteen million, four hundred sixty-eight thousand, four hundred twenty".