253754424 has 384 divisors, whose sum is σ = 944832000. Its totient is φ = 61585920.

The previous prime is 253754411. The next prime is 253754441. The reversal of 253754424 is 424457352.

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 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, 3476052 + ... + 3476124.

It is an arithmetic number, because the mean of its divisors is an integer number (2460500).

Almost surely, 2^253754424 is an apocalyptic number.

253754424 is a gapful number since it is divisible by the number (24) 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 253754424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472416000).

253754424 is an abundant number, since it is smaller than the sum of its proper divisors (691077576).

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

253754424 is a wasteful number, since it uses less digits than its factorization.

253754424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 253754424 is about 15929.6711830471. The cubic root of 253754424 is about 633.0983877076.

The spelling of 253754424 in words is "two hundred fifty-three million, seven hundred fifty-four thousand, four hundred twenty-four".