253405152 has 384 divisors, whose sum is σ = 995742720. Its totient is φ = 60549120.

The previous prime is 253405151. The next prime is 253405169. The reversal of 253405152 is 251504352.

It is a happy number.

253405152 is a `hidden beast` number, since 253 + 405 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253405151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864718 + ... + 865010.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^253405152 is an apocalyptic number.

253405152 is a gapful number since it is divisible by the number (22) 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 253405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497871360).

253405152 is an abundant number, since it is smaller than the sum of its proper divisors (742337568).

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

253405152 is a wasteful number, since it uses less digits than its factorization.

253405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 253405152 is about 15918.7044698996. The cubic root of 253405152 is about 632.8077851281.

The spelling of 253405152 in words is "two hundred fifty-three million, four hundred five thousand, one hundred fifty-two".