253034628 has 288 divisors, whose sum is σ = 827366400. Its totient is φ = 59270400.

The previous prime is 253034513. The next prime is 253034629. The reversal of 253034628 is 826430352.

It is a happy number.

It is a super-3 number, since 3×253034628³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253034629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3563833 + ... + 3563903.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^253034628 is an apocalyptic number.

253034628 is a gapful number since it is divisible by the number (28) 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 253034628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

253034628 is an abundant number, since it is smaller than the sum of its proper divisors (574331772).

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

253034628 is a wasteful number, since it uses less digits than its factorization.

253034628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 253034628 is about 15907.0622051968. The cubic root of 253034628 is about 632.4992083395.

The spelling of 253034628 in words is "two hundred fifty-three million, thirty-four thousand, six hundred twenty-eight".