153420480 has 168 divisors, whose sum is σ = 547524432. Its totient is φ = 40891392.

The previous prime is 153420479. The next prime is 153420493. The reversal of 153420480 is 84024351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76774 + ... + 78746.

It is an arithmetic number, because the mean of its divisors is an integer number (3259074).

Almost surely, 2^153420480 is an apocalyptic number.

153420480 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 153420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273762216).

153420480 is an abundant number, since it is smaller than the sum of its proper divisors (394103952).

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

153420480 is an equidigital number, since it uses as much as digits as its factorization.

153420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 153420480 is about 12386.3021116070. The cubic root of 153420480 is about 535.3376387942.

The spelling of 153420480 in words is "one hundred fifty-three million, four hundred twenty thousand, four hundred eighty".