480253655340 has 192 divisors, whose sum is σ = 1582482787200. Its totient is φ = 120498388992.

The previous prime is 480253655311. The next prime is 480253655443. The reversal of 480253655340 is 43556352084.

480253655340 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 53 + 6 + 553 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45059292 + ... + 45069948.

It is an arithmetic number, because the mean of its divisors is an integer number (8242097850).

Almost surely, 2^480253655340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480253655340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791241393600).

480253655340 is an abundant number, since it is smaller than the sum of its proper divisors (1102229131860).

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

480253655340 is a wasteful number, since it uses less digits than its factorization.

480253655340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15601 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 480253655340 in words is "four hundred eighty billion, two hundred fifty-three million, six hundred fifty-five thousand, three hundred forty".