253416416 has 48 divisors (see below), whose sum is σ = 576298800. Its totient is φ = 108410880.

The previous prime is 253416409. The next prime is 253416419. The reversal of 253416416 is 614614352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253416419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15191 + ... + 27158.

It is an arithmetic number, because the mean of its divisors is an integer number (12006225).

Almost surely, 2^253416416 is an apocalyptic number.

It is an amenable number.

253416416 is an abundant number, since it is smaller than the sum of its proper divisors (322882384).

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

253416416 is a wasteful number, since it uses less digits than its factorization.

253416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42387 (or 42379 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 253416416 is about 15919.0582636034. The cubic root of 253416416 is about 632.8171612086.

The spelling of 253416416 in words is "two hundred fifty-three million, four hundred sixteen thousand, four hundred sixteen".