153204480 has 576 divisors, whose sum is σ = 659312640. Its totient is φ = 33177600.

The previous prime is 153204473. The next prime is 153204523. The reversal of 153204480 is 84402351.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×153204480² = 46943225384140800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4942065 + ... + 4942095.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^153204480 is an apocalyptic number.

153204480 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 153204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329656320).

153204480 is an abundant number, since it is smaller than the sum of its proper divisors (506108160).

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

153204480 is a wasteful number, since it uses less digits than its factorization.

153204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

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

The square root of 153204480 is about 12377.5797311106. The cubic root of 153204480 is about 535.0862876516.

The spelling of 153204480 in words is "one hundred fifty-three million, two hundred four thousand, four hundred eighty".