253434384 has 120 divisors (see below), whose sum is σ = 818792832. Its totient is φ = 71677440.

The previous prime is 253434383. The next prime is 253434397. The reversal of 253434384 is 483434352.

253434384 is a `hidden beast` number, since 2 + 534 + 3 + 43 + 84 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (253434383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102604 + ... + 105044.

Almost surely, 2^253434384 is an apocalyptic number.

253434384 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 253434384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409396416).

253434384 is an abundant number, since it is smaller than the sum of its proper divisors (565358448).

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

253434384 is a wasteful number, since it uses less digits than its factorization.

253434384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 253434384 is about 15919.6226085922. The cubic root of 253434384 is about 632.8321170800.

The spelling of 253434384 in words is "two hundred fifty-three million, four hundred thirty-four thousand, three hundred eighty-four".