480154160 has 80 divisors (see below), whose sum is σ = 1172469600. Its totient is φ = 182611968.

The previous prime is 480154127. The next prime is 480154183. The reversal of 480154160 is 61451084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153896 + ... + 156984.

It is an arithmetic number, because the mean of its divisors is an integer number (14655870).

Almost surely, 2^480154160 is an apocalyptic number.

480154160 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 480154160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586234800).

480154160 is an abundant number, since it is smaller than the sum of its proper divisors (692315440).

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

480154160 is a wasteful number, since it uses less digits than its factorization.

480154160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 480154160 is about 21912.4202223305. The cubic root of 480154160 is about 783.0573409278.

The spelling of 480154160 in words is "four hundred eighty million, one hundred fifty-four thousand, one hundred sixty".