253500000 has 252 divisors, whose sum is σ = 900691596. Its totient is φ = 62400000.

The previous prime is 253499993. The next prime is 253500029. The reversal of 253500000 is 5352.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 19499994 + ... + 19500006.

It is an arithmetic number, because the mean of its divisors is an integer number (3574173).

Almost surely, 2^253500000 is an apocalyptic number.

253500000 is a gapful number since it is divisible by the number (20) 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 253500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450345798).

253500000 is an abundant number, since it is smaller than the sum of its proper divisors (647191596).

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

253500000 is an frugal number, since it uses more digits than its factorization.

253500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 253500000 is about 15921.6833280907. The cubic root of 253500000 is about 632.8867273088.

Multiplying 253500000 by its product of nonzero digits (150), we get a square (38025000000 = 195000²).

253500000 divided by its product of nonzero digits (150) gives a square (1690000 = 1300²).

Adding to 253500000 its reverse (5352), we get a palindrome (253505352).

The spelling of 253500000 in words is "two hundred fifty-three million, five hundred thousand".