152853480 has 320 divisors, whose sum is σ = 585446400. Its totient is φ = 35458560.

The previous prime is 152853479. The next prime is 152853521. The reversal of 152853480 is 84358251.

It is a happy number.

152853480 is a `hidden beast` number, since 1 + 528 + 53 + 4 + 80 = 666.

152853480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152853480² = 46728372696220800, which contains 22 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 79 ways as a sum of consecutive naturals, for example, 800185 + ... + 800375.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^152853480 is an apocalyptic number.

152853480 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 152853480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

152853480 is an abundant number, since it is smaller than the sum of its proper divisors (432592920).

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

152853480 is a wasteful number, since it uses less digits than its factorization.

152853480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 152853480 is about 12363.3927382414. The cubic root of 152853480 is about 534.6773376836.

The spelling of 152853480 in words is "one hundred fifty-two million, eight hundred fifty-three thousand, four hundred eighty".