152340480 has 384 divisors, whose sum is σ = 589680000. Its totient is φ = 37158912.

The previous prime is 152340473. The next prime is 152340491. The reversal of 152340480 is 84043251.

152340480 is a `hidden beast` number, since 152 + 34 + 0 + 480 = 666.

152340480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 5253106 + ... + 5253134.

It is an arithmetic number, because the mean of its divisors is an integer number (1535625).

Almost surely, 2^152340480 is an apocalyptic number.

152340480 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 152340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

152340480 is an abundant number, since it is smaller than the sum of its proper divisors (437339520).

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

152340480 is a wasteful number, since it uses less digits than its factorization.

152340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

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

The square root of 152340480 is about 12342.6285693121. The cubic root of 152340480 is about 534.0785138943.

The spelling of 152340480 in words is "one hundred fifty-two million, three hundred forty thousand, four hundred eighty".