153258480 has 200 divisors, whose sum is σ = 541764432. Its totient is φ = 40144896.

The previous prime is 153258473. The next prime is 153258491. The reversal of 153258480 is 84852351.

It is a happy number.

153258480 is a `hidden beast` number, since 153 + 25 + 8 + 480 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 433984 + ... + 434336.

Almost surely, 2^153258480 is an apocalyptic number.

153258480 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 153258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270882216).

153258480 is an abundant number, since it is smaller than the sum of its proper divisors (388505952).

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

153258480 is a wasteful number, since it uses less digits than its factorization.

153258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 153258480 is about 12379.7609023761. The cubic root of 153258480 is about 535.1491475744.

The spelling of 153258480 in words is "one hundred fifty-three million, two hundred fifty-eight thousand, four hundred eighty".