253942416 has 120 divisors (see below), whose sum is σ = 874735680. Its totient is φ = 66970368.

The previous prime is 253942393. The next prime is 253942439. The reversal of 253942416 is 614249352.

It is a happy number.

253942416 is a `hidden beast` number, since 25 + 394 + 241 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (253942393) and next prime (253942439).

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

It is an unprimeable number.

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, 3415 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (7289464).

Almost surely, 2^253942416 is an apocalyptic number.

253942416 is a gapful number since it is divisible by the number (26) 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 253942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437367840).

253942416 is an abundant number, since it is smaller than the sum of its proper divisors (620793264).

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

253942416 is a wasteful number, since it uses less digits than its factorization.

253942416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19404 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 253942416 is about 15935.5707773522. The cubic root of 253942416 is about 633.2546911278.

The spelling of 253942416 in words is "two hundred fifty-three million, nine hundred forty-two thousand, four hundred sixteen".