253044000 has 480 divisors, whose sum is σ = 1027458432. Its totient is φ = 60480000.

The previous prime is 253043983. The next prime is 253044007. The reversal of 253044000 is 440352.

253044000 = 115³ + 116³ + ... + 185³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (253044007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3563965 + ... + 3564035.

Almost surely, 2^253044000 is an apocalyptic number.

253044000 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 253044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513729216).

253044000 is an abundant number, since it is smaller than the sum of its proper divisors (774414432).

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

253044000 is a wasteful number, since it uses less digits than its factorization.

253044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 253044000 is about 15907.3567886057. The cubic root of 253044000 is about 632.5070171645.

Adding to 253044000 its reverse (440352), we get a palindrome (253484352).

The spelling of 253044000 in words is "two hundred fifty-three million, forty-four thousand".