253693440 has 720 divisors, whose sum is σ = 1188611424. Its totient is φ = 48660480.

The previous prime is 253693409. The next prime is 253693459. The reversal of 253693440 is 44396352.

253693440 is a `hidden beast` number, since 253 + 69 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×253693440² = 128720722998067200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 253693395 and 253693404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19514874 + ... + 19514886.

Almost surely, 2^253693440 is an apocalyptic number.

253693440 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 253693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594305712).

253693440 is an abundant number, since it is smaller than the sum of its proper divisors (934917984).

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

253693440 is a wasteful number, since it uses less digits than its factorization.

253693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 253693440 is about 15927.7569042223. The cubic root of 253693440 is about 633.0476667982.

The spelling of 253693440 in words is "two hundred fifty-three million, six hundred ninety-three thousand, four hundred forty".