253667904 has 168 divisors, whose sum is σ = 795710880. Its totient is φ = 71092224.

The previous prime is 253667903. The next prime is 253667927. The reversal of 253667904 is 409766352.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (253667903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554844 + ... + 555300.

Almost surely, 2^253667904 is an apocalyptic number.

253667904 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 253667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397855440).

253667904 is an abundant number, since it is smaller than the sum of its proper divisors (542042976).

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

253667904 is a wasteful number, since it uses less digits than its factorization.

253667904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 253667904 is about 15926.9552645821. The cubic root of 253667904 is about 633.0264258763.

The spelling of 253667904 in words is "two hundred fifty-three million, six hundred sixty-seven thousand, nine hundred four".