153276480 has 168 divisors, whose sum is σ = 602601792. Its totient is φ = 35030016.

The previous prime is 153276457. The next prime is 153276481. The reversal of 153276480 is 84672351.

153276480 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153276481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16359 + ... + 23961.

Almost surely, 2^153276480 is an apocalyptic number.

153276480 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 153276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301300896).

153276480 is an abundant number, since it is smaller than the sum of its proper divisors (449325312).

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

153276480 is a wasteful number, since it uses less digits than its factorization.

153276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 153276480 is about 12380.4878740702. The cubic root of 153276480 is about 535.1700976007.

The spelling of 153276480 in words is "one hundred fifty-three million, two hundred seventy-six thousand, four hundred eighty".