480921897456 has 1200 divisors, whose sum is σ = 1914944435712. Its totient is φ = 113359150080.

The previous prime is 480921897431. The next prime is 480921897481. The reversal of 480921897456 is 654798129084.

480921897456 is a `hidden beast` number, since 4 + 8 + 0 + 92 + 1 + 8 + 97 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (480921897431) and next prime (480921897481).

It is a super-3 number, since 3×480921897456³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 480921897393 and 480921897402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 956106901 + ... + 956107403.

Almost surely, 2^480921897456 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 480921897456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957472217856).

480921897456 is an abundant number, since it is smaller than the sum of its proper divisors (1434022538256).

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

480921897456 is a wasteful number, since it uses less digits than its factorization.

480921897456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 480921897456 in words is "four hundred eighty billion, nine hundred twenty-one million, eight hundred ninety-seven thousand, four hundred fifty-six".