480437464320 has 1440 divisors, whose sum is σ = 1969348018176. Its totient is φ = 110780006400.

The previous prime is 480437464291. The next prime is 480437464337. The reversal of 480437464320 is 23464734084.

480437464320 is a `hidden beast` number, since 480 + 43 + 74 + 6 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3782972097 + ... + 3782972223.

Almost surely, 2^480437464320 is an apocalyptic number.

480437464320 is a gapful number since it is divisible by the number (40) 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 480437464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984674009088).

480437464320 is an abundant number, since it is smaller than the sum of its proper divisors (1488910553856).

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

480437464320 is a wasteful number, since it uses less digits than its factorization.

480437464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 480437464320 in words is "four hundred eighty billion, four hundred thirty-seven million, four hundred sixty-four thousand, three hundred twenty".