153480 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 40896.

The previous prime is 153469. The next prime is 153487. The reversal of 153480 is 84351.

It is a super-2 number, since 2×153480² = 47112220800, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (153487) by changing a digit.

153480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹⁵³⁴⁸⁰ is an apocalyptic number.

153480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153480 is an abundant number, since it is smaller than the sum of its proper divisors (307320).

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

153480 is a wasteful number, since it uses less digits than its factorization.

153480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153480 is about 391.7652358237. The cubic root of 153480 is about 53.5406858533.

The spelling of 153480 in words is "one hundred fifty-three thousand, four hundred eighty".