153906480 has 560 divisors, whose sum is σ = 683081280. Its totient is φ = 31352832.

The previous prime is 153906469. The next prime is 153906521. The reversal of 153906480 is 84609351.

153906480 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×153906480³ (a number of 26 digits) contains 333 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307106 + ... + 5307134.

It is an arithmetic number, because the mean of its divisors is an integer number (1219788).

Almost surely, 2^153906480 is an apocalyptic number.

153906480 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 153906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341540640).

153906480 is an abundant number, since it is smaller than the sum of its proper divisors (529174800).

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

153906480 is a wasteful number, since it uses less digits than its factorization.

153906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153906480 is about 12405.9050455821. The cubic root of 153906480 is about 535.9023175373.

The spelling of 153906480 in words is "one hundred fifty-three million, nine hundred six thousand, four hundred eighty".