480416962358400 has 384 divisors, whose sum is σ = 1729501082703360. Its totient is φ = 116685712588800.

The previous prime is 480416962358371. The next prime is 480416962358413. The reversal of 480416962358400 is 4853269614084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42420339 + ... + 52538738.

It is an arithmetic number, because the mean of its divisors is an integer number (4503909069540).

Almost surely, 2^{480416962358400} is an apocalyptic number.

480416962358400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480416962358400 is an abundant number, since it is smaller than the sum of its proper divisors (1249084120344960).

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

480416962358400 is a wasteful number, since it uses less digits than its factorization.

480416962358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94959152 (or 94959135 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 480416962358400 in words is "four hundred eighty trillion, four hundred sixteen billion, nine hundred sixty-two million, three hundred fifty-eight thousand, four hundred".