253449000 has 384 divisors, whose sum is σ = 1022112000. Its totient is φ = 57542400.

The previous prime is 253448989. The next prime is 253449011. The reversal of 253449000 is 944352.

253449000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253448989) and next prime (253449011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700926 + ... + 1701074.

It is an arithmetic number, because the mean of its divisors is an integer number (2661750).

Almost surely, 2^253449000 is an apocalyptic number.

253449000 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 253449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056000).

253449000 is an abundant number, since it is smaller than the sum of its proper divisors (768663000).

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

253449000 is a wasteful number, since it uses less digits than its factorization.

253449000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253449000 is about 15920.0816580820. The cubic root of 253449000 is about 632.8442823544.

The spelling of 253449000 in words is "two hundred fifty-three million, four hundred forty-nine thousand".