1517620480 has 72 divisors (see below), whose sum is σ = 3643732512. Its totient is φ = 605620224.

The previous prime is 1517620471. The next prime is 1517620493. The reversal of 1517620480 is 840267151.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668307 + ... + 670573.

It is an arithmetic number, because the mean of its divisors is an integer number (50607396).

Almost surely, 2^1517620480 is an apocalyptic number.

1517620480 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 1517620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821866256).

1517620480 is an abundant number, since it is smaller than the sum of its proper divisors (2126112032).

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

1517620480 is an equidigital number, since it uses as much as digits as its factorization.

1517620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1517620480 is about 38956.6487265011. The cubic root of 1517620480 is about 1149.1791192911.

The spelling of 1517620480 in words is "one billion, five hundred seventeen million, six hundred twenty thousand, four hundred eighty".