253549440 has 320 divisors, whose sum is σ = 931574160. Its totient is φ = 65691648.

The previous prime is 253549427. The next prime is 253549451. The reversal of 253549440 is 44945352.

It is a happy number.

253549440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253549395 and 253549404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473244 + ... + 3473316.

Almost surely, 2^253549440 is an apocalyptic number.

253549440 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 253549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465787080).

253549440 is an abundant number, since it is smaller than the sum of its proper divisors (678024720).

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

253549440 is an equidigital number, since it uses as much as digits as its factorization.

253549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 253549440 is about 15923.2358520497. The cubic root of 253549440 is about 632.9278685131.

The spelling of 253549440 in words is "two hundred fifty-three million, five hundred forty-nine thousand, four hundred forty".