1260420480 has 512 divisors, whose sum is σ = 5140800000. Its totient is φ = 288645120.

The previous prime is 1260420467. The next prime is 1260420521. The reversal of 1260420480 is 840240621.

1260420480 is a `hidden beast` number, since 12 + 604 + 2 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611346 + ... + 3611694.

It is an arithmetic number, because the mean of its divisors is an integer number (10040625).

Almost surely, 2^1260420480 is an apocalyptic number.

1260420480 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 1260420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400000).

1260420480 is an abundant number, since it is smaller than the sum of its proper divisors (3880379520).

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

1260420480 is a wasteful number, since it uses less digits than its factorization.

1260420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1260420480 is about 35502.4010455631. The cubic root of 1260420480 is about 1080.2024311905.

The spelling of 1260420480 in words is "one billion, two hundred sixty million, four hundred twenty thousand, four hundred eighty".