1480748259600 has 405 divisors, whose sum is σ = 5463238884493. Its totient is φ = 371327262720.

The previous prime is 1480748259527. The next prime is 1480748259607. The reversal of 1480748259600 is 69528470841.

It is a happy number.

The square root of 1480748259600 is 1216860.

It is a perfect power (a square), and thus also a powerful number.

1480748259600 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 7 + 4 + 8 + 25 + 9 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 497414236176 + 983334023424 = 705276^2 + 991632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1480748259607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1241196604 + ... + 1241197796.

Almost surely, 2^{1480748259600} is an apocalyptic number.

1480748259600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1480748259600 is the 1216860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480748259600

1480748259600 is an abundant number, since it is smaller than the sum of its proper divisors (3982490624893).

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

1480748259600 is a wasteful number, since it uses less digits than its factorization.

1480748259600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1480748259600 in words is "one trillion, four hundred eighty billion, seven hundred forty-eight million, two hundred fifty-nine thousand, six hundred".