153678480 has 80 divisors (see below), whose sum is σ = 484522560. Its totient is φ = 40282624.

The previous prime is 153678467. The next prime is 153678523. The reversal of 153678480 is 84876351.

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

It is a super-2 number, since 2×153678480² = 47234150430220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8734 + ... + 19586.

It is an arithmetic number, because the mean of its divisors is an integer number (6056532).

Almost surely, 2^153678480 is an apocalyptic number.

153678480 is a gapful number since it is divisible by the number (10) 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 153678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242261280).

153678480 is an abundant number, since it is smaller than the sum of its proper divisors (330844080).

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

153678480 is a wasteful number, since it uses less digits than its factorization.

153678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 153678480 is about 12396.7124674246. The cubic root of 153678480 is about 535.6375547753.

The spelling of 153678480 in words is "one hundred fifty-three million, six hundred seventy-eight thousand, four hundred eighty".