152800470 has 72 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 38594016.

The previous prime is 152800441. The next prime is 152800493. The reversal of 152800470 is 74008251.

152800470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30139 + ... + 34841.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2^152800470 is an apocalyptic number.

152800470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152800470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

152800470 is an abundant number, since it is smaller than the sum of its proper divisors (266579946).

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

152800470 is a wasteful number, since it uses less digits than its factorization.

152800470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152800470 is about 12361.2487233289. The cubic root of 152800470 is about 534.6155213551.

The spelling of 152800470 in words is "one hundred fifty-two million, eight hundred thousand, four hundred seventy".